Anex:Constants matemàtiques

El contingut del present anex és un llistat de constants matemàtiques.

Constants i funcions matemàtiques

L'estructura de la taula és la següent:

• Valor numèric de la constant i enllaç a MathWorld o a OEIS Wiki.
• LaTeX: Fòrmula o série en el format TeX.
• Fòrmula: Per a utilisar en Wolfram Alpha. Si en els càlculs, ∞ demora molt temps, pot canviar-se per 20000, per a obtindre un resultat aproximat.
• OEIS: On-line Encyclopedia of Integer Sequences.
• Fracció contínua: En el format simple [Part sancera; frac1, frac2, frac3, ...] , Plantilla:Overline si és periòdica.
• Any: Del descobriment de la constant, o senyes de l'autor.
• Format web: Valor de la constant, en format adequat per als buscadors web.
• N.º: Tipo de Número
  • R - Racional
  • I - Irracional
  • A - Algebraic
  • T - Transcendental
  • C - Complex

(La taula es pot ordenar ascendent o descendent, per qualsevol dels camps, sense més que pulsar en els títuls de l'encapçalat).

Constants i funcions matemàtiques

Valor	Nomene	Gràfic	Símbol	LaTeX	Fòrmula	N.º	OEIS	Fracció contínua	Any	Format web
0,08607 13320 55934 20688	Constant Erdős– Tenenbaum–Ford		$\delta$	$1-\frac{1+\log \log 2}{\log 2}$	1-(1+log(log(2)))/log(2)		Plantilla:OEIS2C	[0;11,1,1,1,1,1,1,1,2,3,2,1,4,1,1,10,1,1,8,2,...]		0.08607133205593420688757309877692267
1,46557 12318 76768 02665	Proporció súper áurea	Archiu:Supergolden triangle.png	$\psi$	$\frac{1+\sqrt[3]{\frac{29+3\sqrt{93}}{2}}+\sqrt[3]{\frac{29-3\sqrt{93}}{2}}}{3}$	real root of x^3-x^2-1.	$𝔸$	Plantilla:OEIS2C	[1;4,6,5,5,7,1,2,3,1,8,7,6,7,6,8,0,2,6,6,5,6,...]		1.46557123187676802665673122521993910
0,88622 69254 52758 01364	Factorial de un mig		$.5!$	$\Gamma \left(\frac{3}{2}\right)=\frac{1}{2}\sqrt{\pi }=\underset{0}{\overset{\mathrm{\infty }}{\int }}{x}^{1/2}{e}^{-x}dx$	sqrt(Pi)/2		Plantilla:OEIS2C	[0;1,7,1,3,1,2,1,57,6,1,3,1,37,3,41,1,10,2, ...]		0.88622692545275801364908374167057259
0,74048 04896 93061 04116	Constant de Hermite Empaquetamiento òptim d'esferes 3D Conjectura de Kepler		${\mu }_{{}_K}$	$\frac{\pi }{3\sqrt{2}}\mathrm{....}$ Despuix de 400 anys, Thomas Hales va demostrar en 2014 en El Proyecte Flyspeck, que la Conjectura de Kepler era certa.	pi/(3 sqrt(2))		Plantilla:OEIS2C	[0;1,2,1,5,1,4,2,2,1,1,2,2,2,6,1,1,1,5,2,1,1,1, ...]	1611	0.74048048969306104116931349834344894
1,60669 51524 15291 76378	Constant de Erdős–Borwein		$E_B$	$\sum _{m=1}^{\mathrm{\infty }}\sum _{n=1}^{\mathrm{\infty }}\frac{1}{2^{mn}}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{2^n-1}=\frac{1}{1}+\frac{1}{3}+\frac{1}{7}+\frac{1}{15}+\mathrm{...}$	sum[n=1 to ∞] {1/(2^n-1)}	I	Plantilla:OEIS2C	[1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,6,1,2,...]	1949	1.60669515241529176378330152319092458
0,07077 60393 11528 80353 -0,68400 03894 37932 129 i	Constant MKB Plantilla:,Plantilla:,		$M_I$	$\underset{n\to \mathrm{\infty }}{\lim }\underset{1}{\overset{2n}{\int }}(-1{)}^x\sqrt[x]{x}dx=\underset{1}{\overset{2n}{\int }}{e}^{i\pi x}{x}^{1/x}dx$	lim_(2n->∞) int[1 to 2n] {exp(i*Pix)x^(1/x) dx}	C	Plantilla:OEIS2C Plantilla:OEIS2C	[0;14,7,1,2,1,23,2,1,8,16,1,1,3,1,26,1,6,1,1, ...] - [0;1,2,6,13,41,112,1,25,1,1,1,1,3,13,2,1, ...] i	2009	0.07077603931152880353952802183028200 -0.68400038943793212918274445999266 i
3,05940 74053 42576 14453	Constant Doble factorial		$C_{{}_{n!!}}$	$\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n!!}=\sqrt{e}[\frac{1}{\sqrt{2}}+\gamma (\frac{1}{2},\frac{1}{2})]$	Sum[n=0 to ∞]{1/n!!}		Plantilla:OEIS2C	[3;16,1,4,1,66,10,1,1,1,1,2,5,1,2,1,1,1,1,1,2,...]		3.05940740534257614453947549923327861
0,62481 05338 43826 58687 + 1,30024 25902 20120 419 i	Fracció contínua generalisada d'i		${F_{CG}}_{(i)}$	$i+\frac{i}{i+\frac{i}{i+\frac{i}{i+\frac{i}{i+\frac{i}{i+\frac{i}{i+i/\mathrm{...}}}}}}}=\sqrt{\frac{\sqrt{17}-1}{8}}+i(\frac{1}{2}+\sqrt{\frac{2}{\sqrt{17}-1}})$	i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( ...)))))))))))))))))))))	C A	Plantilla:OEIS2C Plantilla:OEIS2C	[i;1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1, ..] = [0;Plantilla:Overline]		0.62481053384382658687960444744285144 + 1.30024259022012041915890982074952 i
0,91893 85332 04672 74178	Fòrmula de Raabe		${\zeta }^{\prime }(0)$	$\underset{a}{\overset{a+1}{\int }}\log \Gamma (t)\mathrm{d}t=\frac{1}{2}\log 2\pi +a\log a-a,a\ge 0$	integral_a^(a+1) {log(Gamma(x))+a-a log(a)} dx		Plantilla:OEIS2C	[0;1,11,2,1,36,1,1,3,3,5,3,1,18,2,1,1,2,2,1,1,...]		0.91893853320467274178032973640561763
0,42215 77331 15826 62702	Volum del Tetraedre de Reuleaux		$V_{{}_R}$	$\frac{s^3}{12}(3\sqrt{2}-49\pi +162\arctan \sqrt{2})$	(3*Sqrt[2] - 49*Pi + 162*ArcTan[Sqrt[2]])/12		Plantilla:OEIS2C	[0;2,2,1,2,2,7,4,4,287,1,6,1,2,1,8,5,1,1,1,1, ...]		0.42215773311582662702336591662385075
1,17628 08182 59917 50654	Constant de Salem, conjectura de Lehmer		${\sigma }_{{}_{10}}$	$x^{10}+x^9-x^7-x^6-x^5-x^4-x^3+x+1$	x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1	A	Plantilla:OEIS2C	[1;5,1,2,17,1,7,2,1,1,2,4,7,2,2,1,1,15,1,1, ...	1983?	1.17628081825991750654407033847403505
2,39996 32297 28653 32223 Radianes	Àngul áureo		$b$	$(4-2\Phi )\pi =(3-\sqrt{5})\pi$ = 137.507764050037854646 ...°	(4-2*Phi)*Pi	T	Plantilla:OEIS2C	[2;2,1,1,1087,4,4,120,2,1,1,2,1,1,7,7,2,11,...]	1907	2.39996322972865332223155550663361385
1,26408 47353 05301 11307	Constant de Vardi		$V_c$	$\frac{\sqrt{3}}{\sqrt{2}}\prod _{n\ge 1}{(1+\frac{1}{(2e_n-1{)}^2})}^{1/2^{n+1}}$			Plantilla:OEIS2C	[1;3,1,3,1,2,5,54,7,1,2,1,2,3,15,1,2,1,1,2,1,...]	1991	1.26408473530530111307959958416466949
Plantilla:Gaps ± Plantilla:Gaps	Àrea del fractal de Mandelbrot		$\gamma$	Es conjectura que el valor exacte és: $\sqrt{6\pi -1}-e$ = 1,506591651...			Plantilla:OEIS2C	[1;1,1,37,2,2,1,10,1,1,2,2,4,1,1,1,1,5,4,...]	1912	1.50659177 +/- 0.00000008
1,61111 49258 08376 736 <o>111•••111 </o> 27224 36828 183213 uns	Constant Factorial exponencial		$S_{Ef}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^{(n-1{)}^{{\cdot }^{{\cdot }^{{\cdot }^{2^1}}}}}}=1+\frac{1}{2^1}+\frac{1}{3^{2^1}}+\frac{1}{4^{3^{2^1}}}+\frac{1}{5^{4^{3^{2^1}}}}+\cdots$		T	Plantilla:OEIS2C	[1; 1, 1, 1, 1, 2, 1, 808, 2, 1, 2, 1, 14,...]		1.61111492580837673611111111111111111
0,31813 15052 04764 13531 ±1,33723 57014 30689 40 i	Punt fix Super-logaritmoPlantilla:,		$-W(-1)$	$\underset{n\to \mathrm{\infty }}{\lim }$$\genfrac{}{}{0ex}{}{f(x)=\underbrace{\log (\log (\log (\log (\cdots \log (\log (x))))))}}{{\log }_s\text{ anidados n veces}}$ Per a un valor inicial de x distint a 0, 1, i, i^i, i^(i^i), etc.	-W(-1) A on W=ProductLog Lambert W function	C	Plantilla:OEIS2C Plantilla:OEIS2C	[-i;1 +2i,1+i,6-i,1+2i,-7+3i,2i,2,1-2i,-1+i,-, ...]		0.31813150520476413531265425158766451 -1.33723570143068940890116214319371 i
1,09317 04591 95490 89396	Constant de Smarandache 1.ª		$S_1$	$\sum _{n=2}^{\mathrm{\infty }}\frac{1}{\mu (n)!}\mathrm{....}$ La funció Kempner μ(n) es definix com seguix: μ(n) és el número més chicotet pel que μ(n)! és divisible per n ||		Plantilla:OEIS2C	[1;10,1,2,1,2,1,13,3,1,6,1,2,11,4,6,2,15,1,1,...]		1.09317045919549089396820137014520832
1,64218 84352 22121 13687	Constant de Lebesgue L2		$L2$	$\frac{1}{5}+\frac{\sqrt{25-2\sqrt{5}}}{\pi }=\frac{1}{\pi }\underset{0}{\overset{\pi }{\int }}\frac{|\mathrm{sen}(\frac{5t}{2})|}{\mathrm{sen}(\frac{t}{2})}dt$	1/5 + sqrt(25 - 2*sqrt(5))/Pi	T	Plantilla:OEIS2C	[1;1,1,1,3,1,6,1,5,2,2,3,1,2,7,1,3,5,2,2,1,1,...]	1910	1.64218843522212113687362798892294034
0,82699 33431 32688 07426	Disk Covering		$C_5$	$\frac{1}{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(\genfrac{}{}{0ex}{}{3n+2}{2})}}=\frac{3\sqrt{3}}{2\pi }$	3 Sqrt[3]/(2 Pi)	T	Plantilla:OEIS2C	[0;1,4,1,3,1,1,4,1,2,2,1,1,7,1,4,4,2,1,1,1,1,...]	1939 1949	0.82699334313268807426698974746945416
1,78723 16501 82965 93301	Constant de Komornik–Loreti		$q$	$1=\sum _{n=1}^{\mathrm{\infty }}\frac{t_k}{q^k}\text{Raiz real de}\prod _{n=0}^{\mathrm{\infty }}(1-\frac{1}{q^{2^n}})+\frac{q-2}{q-1}=0$ t k = Successió de Thue-Morse	FindRoot[(prod[n=0 to ∞] {1-1/(x^2^n)}+ (x-2)/(x-1))= 0, {x, 1.7}, WorkingPrecision->30]	T	Plantilla:OEIS2C	[1;1,3,1,2,3,188,1,12,1,1,22,33,1,10,1,1,7,...]	1998	1.78723165018296593301327489033700839
0,59017 02995 08048 11302	Constant de Chebyshev Plantilla:,		${\lambda }_{Ch}$	$\frac{\Gamma (\frac{1}{4}{)}^2}{4{\pi }^{3/2}}=\frac{4(\frac{1}{4}!{)}^2}{{\pi }^{3/2}}$	(Gamma(1/4)^2) /(4 pi^(3/2))		Plantilla:OEIS2C	[0;1,1,2,3,1,2,41,1,6,5,124,5,2,2,1,1,6,1,2,...]		0.59017029950804811302266897027924429
0,52382 25713 89864 40645	Funció Chi Coseno hiperbòlic integral		$\mathrm{Chi()}$	$\gamma +\underset{0}{\overset{x}{\int }}\frac{\cosh t-1}{t}dt$ $\gamma \text{= Constante de Euler–Mascheroni = 0,5772156649...}$	Chi(x)		Plantilla:OEIS2C	[0;1,1,9,1,172,1,7,1,11,1,1,2,1,8,1,1,1,1,1,...]		0.52382257138986440645095829438325566
0,62432 99885 43550 87099	Constant de Golomb–Dickman		$\lambda$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\underset{Parax>2}{\frac{f(x)}{x^2}dx}=\underset{0}{\overset{1}{\int }}{e}^{Li(n)}dn\text{Li = Integral logarítmica}$	N[Int{n,0,1}[i^Li(n)],34]		Plantilla:OEIS2C	[0;1,1,1,1,1,22,1,2,3,1,1,11,1,1,2,22,2,6,1,...]	1930 i 1964	0.62432998854355087099293638310083724
0,98770 03907 36053 46013	Àrea delimitada per la rotació excèntrica de el Triàngul de Reuleaux		${𝒯}_R$	$a^2\cdot (2\sqrt{3}+\frac{\pi }{6}-3)$     a on a= costat del quadrat	2 sqrt(3)+pi/6-3	T	Plantilla:OEIS2C	[0;1,80,3,3,2,1,1,1,4,2,2,1,1,1,8,1,2,10,1,2,...]	1914	0.98770039073605346013199991355832854
0,70444 22009 99165 59273	Constant Carefree2		${𝒞}_2$	$\underset{p_n:primo}{\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{p_n(p_n+1)})}$	N[prod[n=1 to ∞] {1 - 1/(prime(n)* (prime(n)+1))}]		Plantilla:OEIS2C	[0;1,2,2,1,1,1,1,4,2,1,1,3,703,2,1,1,1,3,5,1,...]		0.70444220099916559273660335032663721
1,84775 90650 22573 51225	Constant camí auto-evitante en ret hexagonal Plantilla:,		$\mu$	$\sqrt{2+\sqrt{2}}=\underset{n\to \mathrm{\infty }}{\lim }{c}_n^{1/n}$ La menor raïl real de $:x^4-4x^2+2=0$	sqrt(2+sqrt(2))	A	Plantilla:OEIS2C	[1;1,5,1,1,3,6,1,3,3,10,10,1,1,1,5,2,3,1,1,3,...]		1.84775906502257351225636637879357657
0,19452 80494 65325 11361	2.ª Constant Du Bois Reymond		$C_2$	$\frac{e^2-7}{2}=\underset{0}{\overset{\mathrm{\infty }}{\int }}\left|\frac{d}{dt}{\left(\frac{\sin t}{t}\right)}^n\right|dt-1$	(i^2-7)/2	T	Plantilla:OEIS2C	[0;5,7,9,11,13,15,17,19,21,23,25,27,29,31,...] = [0;Plantilla:Overline], p∈ℕ		0.19452804946532511361521373028750390
2,59807 62113 53315 94029	Àrea d'un hexàgon de costat unitari		${𝒜}_6$	$\frac{3\sqrt{3}}{2}{l}^2$	3 sqrt(3)/2	A	Plantilla:OEIS2C	[2;1,1,2,20,2,1,1,4,1,1,2,20,2,1,1,4,1,1,2,20,...] [2;Plantilla:Overline]		2.59807621135331594029116951225880855
1,78657 64593 65922 46345	Constant de Silverman		${𝒮}_{{}_m}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\varphi (n){\sigma }_1(n)}=\underset{p_n:primo}{\prod _{n=1}^{\mathrm{\infty }}(1+\sum _{k=1}^{\mathrm{\infty }}\frac{1}{p_n^{2k}-p_n^{k-1}})}$ ø() = Funció totien de Euler, σ1() = Funció divisor.	Sum[n=1 to ∞] {1/[EulerPhi(n) DivisorSigma(1,n)]}		Plantilla:OEIS2C	[1;1,3,1,2,5,1,65,11,2,1,2,13,1,4,1,1,1,2,5,4,...]		1.78657645936592246345859047554131575
1,46099 84862 06318 35815	Constant quatre-colors de Baxter	Mapamundi Coloreado 4C	${𝒞}^2$	$\prod _{n=1}^{\mathrm{\infty }}\frac{(3n-1{)}^2}{(3n-2)(3n)}=\frac{3}{4{\pi }^2}\Gamma {\left(\frac{1}{3}\right)}^3$ Γ() = Funció Gamma	3×Gamma(1/3) ^3/(4 pi^2)		Plantilla:OEIS2C	[1;2,5,1,10,8,1,12,3,1,5,3,5,8,2,1,23,1,2,161,...]	1970	1.46099848620631835815887311784605969
0,66131 70494 69622 33528	Constant de Feller-Tornier		${𝒞}_{{}_{FT}}$	$\underset{p_n:primo}{\frac{1}{2}\prod _{n=1}^{\mathrm{\infty }}(1-\frac{2}{p_n^2})+\frac{1}{2}}=\frac{3}{{\pi }^2}\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{p_n^2-1})+\frac{1}{2}$	[prod[n=1 to ∞] {1-2/prime(n)^2}] /2 + 1/2	T ?	Plantilla:OEIS2C	[0;1,1,1,20,9,1,2,5,1,2,3,2,3,38,8,1,16,2,2,...]	1932	0.66131704946962233528976584627411853
1,92756 19754 82925 30426	Constant Tetranacci		$𝒯$	La major raïl real de $:x^4-x^3-x^2-x-1=0$	Root[x+x^-4-2=0]	A	Plantilla:OEIS2C	[1;1,12,1,4,7,1,21,1,2,1,4,6,1,10,1,2,2,1,7,1,...]		1.92756197548292530426190586173662216
1,00743 47568 84279 37609	Constant DeVicci's Teseracto		$f_{(3,4)}$	Aresta de la major gaveta, dins d'un hipercubo unitari 4D. La menor raïl real de $:4x^4-28x^3-7x^2+16x+16=0$	Root[4x^8-28x^6 -7x^4+16x^2+16 =0]	A	Plantilla:OEIS2C	[1;134,1,1,73,3,1,5,2,1,6,3,11,4,1,5,5,1,1,48,...]		1.00743475688427937609825359523109914
0,15915 49430 91895 33576	Constant A de Plouffe		$A$	$\frac{1}{2\pi }$	1/(2 pi)	T	Plantilla:OEIS2C	[0;6,3,1,1,7,2,146,3,6,1,1,2,7,5,5,1,4,1,2,42,...]		0.15915494309189533576888376337251436
0,41245 40336 40107 59778	Constant de Thue-Morse		$\tau$	$\sum _{n=0}^{\mathrm{\infty }}\frac{t_n}{2^{n+1}}$    a on $t_n$ és la seqüència Thue–Morse  i a on $\tau (x)=\sum _{n=0}^{\mathrm{\infty }}(-1{)}^{t_n}{x}^n=\prod _{n=0}^{\mathrm{\infty }}(1-x^{2^n})$		T	Plantilla:OEIS2C	[0;2,2,2,1,4,3,5,2,1,4,2,1,5,44,1,4,1,2,4,1,1,...]		0.41245403364010759778336136825845528
0,58057 75582 04892 40229	Constant de Pell		${𝒫}_{{}_{Pell}}$	$1-\prod _{n=0}^{\mathrm{\infty }}(1-\frac{1}{2^{2n+1}})$	N[1-prod[n=0 to ∞] {1-1/(2^(2n+1)}]	T ?	Plantilla:OEIS2C	[0;1,1,2,1,1,1,1,14,1,3,1,1,6,9,18,7,1,27,1,1,...]		0.58057755820489240229004389229702574
2,20741 60991 62477 96230	Problema movent el sofà de Hammersley		$S_{{}_H}$	$\frac{\pi }{2}+\frac{2}{\pi }$ ¿Quin és l'àrea més gran d'una forma, que puga ser maniobrada en un passadiç en forma de L i tinga d'ample l'unitat ?	pi/2 + 2/pi	T	Plantilla:OEIS2C	[2;4,1,4,1,1,2,5,1,11,1,1,5,1,6,1,3,1,1,1,1,7,...]	1967	2.20741609916247796230685674512980889
1,15470 05383 79251 52901	Constant de Hermite		${\gamma }_{{}_2}$	$\frac{2}{\sqrt{3}}=\frac{1}{\cos (\frac{\pi }{6})}$	2/sqrt(3)	A	1+ Plantilla:OEIS2C	[1;6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] [1;Plantilla:Overline]		1.15470053837925152901829756100391491
0,63092 97535 71457 43709	Dimensió fractal del Conjunt de Cantor		$d_f(k)$	$\underset{\epsilon \to 0}{\lim }\frac{\log N(\epsilon )}{\log (1/\epsilon )}=\frac{\log 2}{\log 3}$	log(2)/log(3) N[3^x=2]	T	Plantilla:OEIS2C	[0;1,1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		0.63092975357145743709952711434276085
0,17150 04931 41536 06586	Constant Hall-Montgomery		${\delta }_{{}_0}$	$1+\frac{{\pi }^2}{6}+2{\mathrm{L}\mathrm{i}}_2(-\sqrt{e}){\mathrm{L}\mathrm{i}}_2\text{= Integral dilogarítmica}$	1 + Pi^2/6 + 2*PolyLog[2, -Sqrt[I]]		Plantilla:OEIS2C	[0;5,1,4,1,10,1,1,11,18,1,2,19,14,1,51,1,2,1,...]		0.17150049314153606586043997155521210
1,55138 75245 48320 39226	Constant Triàngul Calabi		$C_{{}_{CR}}$	$\frac{1}{3}+\frac{(-23+3i\sqrt{237}{)}^{\frac{1}{3}}}{3\cdot 2^{\frac{2}{3}}}+\frac{11}{3(2(-23+3i\sqrt{237}){)}^{\frac{1}{3}}}$	FindRoot[ 2x^3-2x^2-3x+2 ==0, {x, 1.5}, WorkingPrecision->40]	A	Plantilla:OEIS2C	[1;1,1,4,2,1,2,1,5,2,1,3,1,1,390,1,1,2,11,6,2,...]	1946	1.55138752454832039226195251026462381
0,97027 01143 92033 92574	Constant de Lochs		${\text{£}}_{{}_{Lo}}$	$\frac{6\ln 2\ln 10}{{\pi }^2}$	6*ln(2)*ln(10)/Pi^2		Plantilla:OEIS2C	[0;1,32,1,1,1,2,1,46,7,2,7,10,8,1,71,1,37,1,1,...]	1964	0.97027011439203392574025601921001083
1,30568 67 ≈	Dimensió fractal del círcul de Apolonio		$\epsilon$				Plantilla:OEIS2C	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		1.3056867 ≈
0,00131 76411 54853 17810	Constant de Heath-Brown–Moroz		$C_{{}_{HBM}}$	$\underset{p_n:primo}{\prod _{n=1}^{\mathrm{\infty }}{(1-\frac{1}{p_n})}^7(1+\frac{7p_n+1}{p_n^2})}$	N[prod[n=1 to ∞] {((1-1/prime(n))^7) *(1+(7prime(n)+1) /(prime(n)^2))}]	T ?	Plantilla:OEIS2C	[0;758,1,13,1,2,3,56,8,1,1,1,1,1,143,1,1,1,2,...]		0.00131764115485317810981735232251358
0,14758 36176 50433 27417	Constant gamma de Plouffe		$C$	$\frac{1}{\pi }\arctan \frac{1}{2}=\frac{1}{\pi }\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{(2^{2n+1})(2n+1)}$ $=\frac{1}{\pi }(\frac{1}{2}-\frac{1}{3\cdot 2^3}+\frac{1}{5\cdot 2^5}-\frac{1}{7\cdot 2^7}+\cdots )$	Arctan(1/2)/Pi	T	Plantilla:OEIS2C	[0;6,1,3,2,5,1,6,5,3,1,1,2,1,1,2,3,1,2,3,2,2,...]		0.14758361765043327417540107622474052
0,70523 01717 91800 96514	Constant Primorial Suma d'inversos de productes de cosins		$P_{\mathrm{\#}}$	$\underset{p_n:primo}{\sum _{n=1}^{\mathrm{\infty }}\frac{1}{p_n\mathrm{\#}}=\frac{1}{2}+\frac{1}{6}+\frac{1}{30}+\frac{1}{210}+\mathrm{...}=\sum _{k=1}^{\mathrm{\infty }}\prod _{n=1}^k\frac{1}{p_n}}$	Sum[k=1 to ∞](prod[n=1 to k]{1/prime(n)})	I	Plantilla:OEIS2C	[0;1,2,2,1,1,4,1,2,1,1,6,13,1,4,1,16,6,1,1,4,...]		0.70523017179180096514743168288824851
0,29156 09040 30818 78013	Constant dimer 2D, recobriment en dominós Plantilla:,		$\frac{C}{\pi }$ C=Cte Catalan	$\underset{-\pi }{\overset{\pi }{\int }}\frac{{\cosh }^{-1}\left(\frac{\sqrt{\cos (t)+3}}{\sqrt{2}}\right)}{4\pi }dt$	N[int[-pi to pi] {arccosh(sqrt( cos(t)+3)/sqrt(2)) /(4*Pi) /, dt}]		Plantilla:OEIS2C	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		0.29156090403081878013838445646839491
0,72364 84022 98200 00940	Constant de Sarnak		$C_{sa}$	$\prod _{p>2}(1-\frac{p+2}{p^3})$	N[prod[k=2 to ∞] {1-(prime(k)+2) /(prime(k)^3)}]	T ?	Plantilla:OEIS2C	[0;1,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,8,2,1,1,...]		0.72364840229820000940884914980912759
0,63212 05588 28557 67840	Constant de temps		$\tau$	$\underset{n\to \mathrm{\infty }}{\lim }1-\frac{!n}{n!}=\underset{n\to \mathrm{\infty }}{\lim }P(n)=\underset{0}{\overset{1}{\int }}{e}^{-x}dx=1-\frac{1}{e}=$ $\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{n!}=\frac{1}{1!}-\frac{1}{2!}+\frac{1}{3!}-\frac{1}{4!}+\frac{1}{5!}-\frac{1}{6!}+\cdots$	lim_(n->∞) (1- !n/n!) !n=subfactorial	T	Plantilla:OEIS2C	[0;1,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [0;1,Plantilla:Overline], n∈ℕ		0.63212055882855767840447622983853913
0.30366 30028 98732 65859	Constant de Gauss-Kuzmin-Wirsing		${\lambda }_2$	$\underset{n\to \mathrm{\infty }}{\lim }\frac{F_n(x)-\ln (1-x)}{(-\lambda {)}^n}=\Psi (x),$ a on $\Psi (x)$ és una funció analítica tal que $\Psi (0)=\Psi (1)=0$.			Plantilla:OEIS2C	[0;3,3,2,2,3,13,1,174,1,1,1,2,2,2,1,1,1,2,2,1,...]	1973	0.30366300289873265859744812190155623
1,30357 72690 34296 39125	Constant de Conway	Erro al crear miniatura:	$\lambda$	$\begin{array}{c}{x}^{71}-x^{69}-2x^{68}-x^{67}+2x^{66}+2x^{65}+x^{64}-x^{63}-x^{62}-x^{61}-x^{60}\\ -x^{59}+2x^{58}+5x^{57}+3x^{56}-2x^{55}-10x^{54}-3x^{53}-2x^{52}+6x^{51}+6x^{50}\\ +x^{49}+9x^{48}-3x^{47}-7x^{46}-8x^{45}-8x^{44}+10x^{43}+6x^{42}+8x^{41}-5x^{40}\\ -12x^{39}+7x^{38}-7x^{37}+7x^{36}+x^{35}-3x^{34}+10x^{33}+x^{32}-6x^{31}-2x^{30}\\ -10x^{29}-3x^{28}+2x^{27}+9x^{26}-3x^{25}+14x^{24}-8x^{23}-7x^{21}+9x^{20}\\ +3x^{19}-4x^{18}-10x^{17}-7x^{16}+12x^{15}+7x^{14}+2x^{13}-12x^{12}-4x^{11}-2x^{10}\\ +5x^9+x^7-7x^6+7x^5-4x^4+12x^3-6x^2+3x-6=0\end{array}$		A	Plantilla:OEIS2C	[1;3,3,2,2,54,5,2,1,16,1,30,1,1,1,2,2,1,14,1,...]	1987	1.30357726903429639125709911215255189
1,18656 91104 15625 45282	Constant de Lévy		$\beta$	$\frac{{\pi }^2}{12\ln 2}$	pi^2 /(12 ln 2)		Plantilla:OEIS2C	[1;5,2,1,3,1,1,28,18,16,3,2,6,2,6,1,1,5,5,9,...]	1935	1.18656911041562545282172297594723712
0,83564 88482 64721 05333	Constant de Baker	Archiu:Baker constant.png	${\beta }_3$	$\underset{0}{\overset{1}{\int }}\frac{\mathrm{d}t}{1+t^3}=\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{3n+1}=\frac{1}{3}(\ln 2+\frac{\pi }{\sqrt{3}})$	Sum[n=0 to ∞] {((-1)^(n))/(3n+1)}		Plantilla:OEIS2C	[0;1,5,11,1,4,1,6,1,4,1,1,1,2,1,3,2,2,2,2,1,3,...]		0.83564884826472105333710345970011076
23,10344 79094 20541 6160	Série de Kempner(0)		$K_0$	$1+\frac{1}{2}+\frac{1}{3}+\cdots +\frac{1}{9}+\frac{1}{11}+\cdots +\frac{1}{19}+\frac{1}{21}+\cdots +\text{etc.}$ $+\frac{1}{99}+\frac{1}{111}+\cdots +\frac{1}{119}+\frac{1}{121}+\cdots \stackrel{Excluidoslos}{\underset{contienenceros.}{denominadoresque}}$	1+1/2+1/3+1/4+1/5 +1/6+1/7+1/8+1/9 +1/11+1/12+1/13 +1/14+1/15+...		Plantilla:OEIS2C	[23;9,1,2,3244,1,1,5,1,2,2,8,3,1,1,6,1,84,1,...]		23.1034479094205416160340540433255981
0,98943 12738 31146 95174	Constant de Lebesgue	Archiu:Fourier synthesis.svg	$C_1$	$\underset{n\to \mathrm{\infty }}{\lim }\left(L_n-\frac{4}{{\pi }^2}\ln (2n+1)\right)=\frac{4}{{\pi }^2}(\sum _{k=1}^{\mathrm{\infty }}\frac{2\ln k}{4k^2-1}-\frac{{\Gamma }^{\prime }(\frac{1}{2})}{\Gamma (\frac{1}{2})})$	4/pi^2*[(2 Sum[k=1 to ∞] {ln(k)/(4k^2-1)}) -poligamma(1/2)]		Plantilla:OEIS2C	[0;1,93,1,1,1,1,1,1,1,7,1,12,2,15,1,2,7,2,1,5,...]		0.98943127383114695174164880901886671
1,38135 64445 18497 79337	Constant Beta Kneser-Mahler		$\beta$	$e^{{}^{\frac{2}{\pi }\underset{0}{\overset{\frac{\pi }{3}}{\int }}t\tan tdt}}=e^{{}^{\underset{\frac{-1}{3}}{\overset{\frac{1}{3}}{\int }}\ln \lfloor 1+e^{2\pi it}\rfloor dt}}$	i^((PolyGamma(1,4/3) - PolyGamma(1,2/3) +9)/(4*sqrt(3)*Pi))		Plantilla:OEIS2C	[1;2,1,1,1,1,1,4,1,139,2,1,3,5,16,2,1,1,7,2,1,...]	1963	1.38135644451849779337146695685062412
1,18745 23511 26501 05459	Constant de Foias α		$F_{\alpha }$	$x_{n+1}={(1+\frac{1}{x_n})}^n\text{ para }n=1,2,3,\dots$ La constant de Foias és l'únic número real tal que si x1 = α, llavors la seqüència divergix a ∞. Quan x1 = α, $\underset{n\to \mathrm{\infty }}{\lim }{x}_n\frac{\log n}{n}=1$			Plantilla:OEIS2C	[1;5,2,1,81,3,2,2,1,1,1,1,1,6,1,1,3,1,1,4,3,2,...]	1970	1.18745235112650105459548015839651935
2,29316 62874 11861 03150	Constant de Foias β	Archiu:Foias constant.png	$F_{\beta }$	$x^{x+1}=(x+1{)}^x$	x^(x+1) = (x+1)^x		Plantilla:OEIS2C	[2;3,2,2,3,4,2,3,2,130,1,1,1,1,1,6,3,2,1,15,1,...]	2000	2.29316628741186103150802829125080586
0,66170 71822 67176 23515	Constant de Robbins		$\Delta (3)$	$\frac{4+17\sqrt{2}-6\sqrt{3}-7\pi }{105}+\frac{\ln (1+\sqrt{2})}{5}+\frac{2\ln (2+\sqrt{3})}{5}$	(4+17*2^(1/2)-6 *3^(1/2)+21*ln(1+ 2^(1/2))+42*ln(2+ 3^(1/2))-7*Pi)/105		Plantilla:OEIS2C	[0;1,1,1,21,1,2,1,4,10,1,2,2,1,3,11,1,331,1,4,...]	1978	0.66170718226717623515583113324841358
0,78853 05659 11508 96106	Constant de Lüroth	Archiu:Constante de Lüroth.svg	$C_L$	$\sum _{n=2}^{\mathrm{\infty }}\frac{\ln \left(\frac{n}{n-1}\right)}{n}$	Sum[n=2 to ∞] log(n/(n-1))/n		Plantilla:OEIS2C	[0;1,3,1,2,1,2,4,1,127,1,2,2,1,3,8,1,1,2,1,16,...]		0.78853056591150896106027632216944432
0,92883 58271	Constant entre primers bessons de JJGJJG		$B_1$	$\frac{1}{4}+\frac{1}{6}+\frac{1}{12}+\frac{1}{18}+\frac{1}{30}+\frac{1}{42}+\frac{1}{60}+\frac{1}{72}+\cdots$	1/4 + 1/6 + 1/12 + 1/18 + 1/30 + 1/42 + 1/60 + 1/72 + ...		Plantilla:OEIS2C	[0; 1, 13, 19, 4, 2, 3, 1, 1]	2014	0.928835827131
5,24411 51085 84239 62092	Constant 2 Lemniscata	Archiu:Lemniscate of Bernoulli.gif	$2\varpi$	$\frac{[\Gamma (\frac{1}{4}){]}^2}{\sqrt{2\pi }}=4\underset{0}{\overset{1}{\int }}\frac{dx}{\sqrt{(1-x^2)(2-x^2)}}$	Gamma[ 1/4 ]^2 /Sqrt[ 2 Pi ]		Plantilla:OEIS2C	[5;4,10,2,1,2,3,29,4,1,2,1,2,1,2,1,4,9,1,4,1,2,...]	1718	5.24411510858423962092967917978223883
0,57595 99688 92945 43964	Constant Stephens		$C_S$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{p}{p^3-1})$	Prod[n=1 to ∞] {1-prime(n) /(prime(n)^3-1)}	T ?	Plantilla:OEIS2C	[0;1,1,2,1,3,1,3,1,2,1,77,2,1,1,10,2,1,1,1,7,...]	?	0.57595996889294543964316337549249669
0,73908 51332 15160 64165	Número de Dottie	Archiu:Dottie number.png	$d$	$\underset{x\to \mathrm{\infty }}{\lim }{\cos }^x(c)=\underset{x}{\underbrace{\cos (\cos (\cos (\cos (\cdots (\cos (c))))))}}$	cos(c)=c	T	Plantilla:OEIS2C	[0;1,2,1,4,1,40,1,9,4,2,1,15,2,12,1,21,1,17,...]		0.73908513321516064165531208767387340
0,67823 44919 17391 97803	Constant Taniguchi		$C_T$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{3}{{p_n}^3}+\frac{2}{{p_n}^4}+\frac{1}{{p_n}^5}-\frac{1}{{p_n}^6})$ $p_n=\text{primo}$	Prod[n=1 to ∞] {1 -3/prime(n)^3 +2/prime(n)^4 +1/prime(n)^5 -1/prime(n)^6}	T ?	Plantilla:OEIS2C	[0;1,2,9,3,1,2,9,11,1,13,2,15,1,1,1,2,4,1,1,1,...]	?	0.67823449191739197803553827948289481
1,35845 62741 82988 43520	Constant espiral áurea	Archiu:FakeRealLogSpiral.svg	$c$	${\phi }^{\frac{2}{\pi }}={\left(\frac{1+\sqrt{5}}{2}\right)}^{\frac{2}{\pi }}$	GoldenRatio^(2/Pi)		Plantilla:OEIS2C	[1;2,1,3,1,3,10,8,1,1,8,1,15,6,1,3,1,1,2,3,1,1,...]		1.35845627418298843520618060050187945
2,79128 78474 77920 00329	Raïls aniuades S5		$S_5$	$\frac{\sqrt{21}+1}{2}=\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5+\cdots }}}}}$ $=1+\sqrt{5-\sqrt{5-\sqrt{5-\sqrt{5-\sqrt{5-\cdots }}}}}$	(sqrt(21)+1)/2	A	Plantilla:OEIS2C	[2;1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,...] [2;Plantilla:Overline]		2.79128784747792000329402359686400424
1,85407 46773 01371 91843	Constant Lemniscata de Gauss	Archiu:Lemniscate Building.gif	$L\text{/}\sqrt{2}$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{\mathrm{d}x}{\sqrt{1+x^4}}=\frac{1}{4\sqrt{\pi }}\Gamma {\left(\frac{1}{4}\right)}^2=\frac{4{(\frac{1}{4}!)}^2}{\sqrt{\pi }}$ Γ() = Funció Gamma	pi^(3/2)/(2 Gamma(3/4)^2)		Plantilla:OEIS2C	[1;1,5,1,5,1,3,1,6,2,1,4,16,3,112,2,1,1,18,1,...]	?	1.85407467730137191843385034719526005
1,75874 36279 51184 82469	Constant Producte infinit, en Alladi-Grinstead		$P{r}_1$	$\prod _{n=2}^{\mathrm{\infty }}(1+\frac{1}{n}{)}^{\frac{1}{n}}$	Prod[n=2 to ∞] {(1+1/n)^(1/n)}		Plantilla:OEIS2C	[1;1,3,6,1,8,1,4,3,1,4,1,1,1,6,5,2,40,1,387,2,...]	1977	1.75874362795118482469989684865589317
1,73245 47146 00633 47358	Constant inversa de Euler-Mascheroni		$\frac{1}{\gamma }$	${(\underset{0}{\overset{1}{\int }}-\log (\log \frac{1}{x})dx)}^{-1}=\sum _{n=1}^{\mathrm{\infty }}(-1{)}^n(-1+\gamma {)}^n$	1/Integrate_ (x=0 to 1) {-log(log(1/x))}		Plantilla:OEIS2C	[1;1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,11,...]		1.73245471460063347358302531586082968
1,94359 64368 20759 20505	Constant Euler Totient	Archiu:EulerPhi100.PNG	$ET$	$\underset{p\text{= Nros. primos}}{\prod _p(1+\frac{1}{p(p-1)})}=\frac{\zeta (2)\zeta (3)}{\zeta (6)}=\frac{315\zeta (3)}{2{\pi }^4}$	zeta(2)*zeta(3) /zeta(6)		Plantilla:OEIS2C	[1;1,16,1,2,1,2,3,1,1,3,2,1,8,1,1,1,1,1,1,1,32,...]	1750	1.94359643682075920505707036257476343
1,49534 87812 21220 54191	Raïl quarta de cinc		$\sqrt[4]{5}$	$\sqrt[5]{5\sqrt[5]{5\sqrt[5]{5\sqrt[5]{5\sqrt[5]{5\cdots }}}}}$	(5(5(5(5(5(5(5) ^1/5)^1/5)^1/5) ^1/5)^1/5)^1/5) ^1/5 ...	A	Plantilla:OEIS2C	[1;2,53,4,96,2,1,6,2,2,2,6,1,4,1,49,17,2,3,2,...]		1.49534878122122054191189899414091339
0,87228 40410 65627 97617	Àrea Círcul de Ford	Archiu:Circumferències de Ford.svg	$A_{CF}$	$\sum _{q\ge 1}\sum _{\genfrac{}{}{0ex}{}{(p,q)=1}{1\le p<q}}\pi {\left(\frac{1}{2q^2}\right)}^2=\frac{\pi }{4}\frac{\zeta (3)}{\zeta (4)}=\frac{45}{2}\frac{\zeta (3)}{{\pi }^3}$ ς() = Funció zeta	pi Zeta(3) /(4 Zeta(4))			[0;1,6,1,4,1,7,5,36,3,29,1,1,10,3,2,8,1,1,1,3,...]	?	0.87228404106562797617519753217122587
1,08232 32337 11138 19151	Constant Zeta(4)		$\zeta (4)$	$\frac{{\pi }^4}{90}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^4}=\frac{1}{1^4}+\frac{1}{2^4}+\frac{1}{3^4}+\frac{1}{4^4}+\frac{1}{5^4}+\mathrm{...}$	Sum[n=1 to ∞] {1/n^4}	T	Plantilla:OEIS2C	[1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...]		1.08232323371113819151600369654116790
1,56155 28128 08830 27491	Raïl Triangular de 2.	Archiu:Números triangulares.png	$R_2$	$\frac{\sqrt{17}-1}{2}=\sqrt{4+\sqrt{4+\sqrt{4+\sqrt{4+\sqrt{4+\sqrt{4+\cdots }}}}}}-1$ $=\sqrt{4-\sqrt{4-\sqrt{4-\sqrt{4-\sqrt{4-\sqrt{4-\cdots }}}}}}$	(sqrt(17)-1)/2	A	Plantilla:OEIS2C	[1;1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,...] [1;Plantilla:Overline]		1.56155281280883027491070492798703851
1,45607 49485 82689 67139	Constant de Backhouse		$B$	$\underset{k\to \mathrm{\infty }}{\lim }\left|\frac{q_{k+1}}{q_k}\right|\text{donde:}Q(x)=\frac{1}{P(x)}=\sum _{k=1}^{\mathrm{\infty }}{q}_k{x}^k$ $P(x)=\sum _{k=1}^{\mathrm{\infty }}\underset{p_k:primo}{p_k{x}^k}=1+2x+3x^2+5x^3+7x^4+\mathrm{...}$	1/( FindRoot[0 == 1 + Sum[x^n Prime[n], {n, 10000}], {x, {1}})		Plantilla:OEIS2C	[1;2,5,5,4,1,1,18,1,1,1,1,1,2,13,3,1,2,4,16,4,...]	1995	1.45607494858268967139959535111654355
1,43599 11241 76917 43235	Constant interpolació de Lebesgue Plantilla:,	Archiu:Fourier series integral identities.gif	$L_1$	$\prod _{\begin{array}{c}i=0\\ j\ne i\end{array}}^n\frac{x-x_i}{x_j-x_i}=\frac{1}{\pi }\underset{0}{\overset{\pi }{\int }}\frac{\lfloor \sin \frac{3t}{2}\rfloor }{\sin \frac{t}{2}}dt=\frac{1}{3}+\frac{2\sqrt{3}}{\pi }$	1/3 + 2*sqrt(3)/Pi	T	Plantilla:OEIS2C	[1;2,3,2,2,6,1,1,1,1,4,1,7,1,1,1,2,1,3,1,2,1,1,...]	1902	1.43599112417691743235598632995927221
1,04633 50667 70503 18098	Constant mass Minkowski-Siegel		$F_1$	$\prod _{n=1}^{\mathrm{\infty }}\frac{n!}{\sqrt{2\pi n}{\left(\frac{n}{e}\right)}^n\sqrt[12]{1+\frac{1}{n}}}$	N[prod[n=1 to ∞] n! /(sqrt(2*Pin) *(n/i)^n *(1+1/n) ^(1/12))]		Plantilla:OEIS2C	[1;21,1,1,2,1,1,4,2,1,5,7,2,1,20,1,1,1134,3,..]	1867 1885 1935	1.04633506677050318098095065697776037
1,86002 50792 21190 30718	Constant espiral de Theodorus	Archiu:Spiral of Theodorus.svg	$\partial$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\sqrt{n^3}+\sqrt{n}}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\sqrt{n}(n+1)}$	Sum[n=1 to ∞] {1/(n^(3/2) +n^(1/2))}		Plantilla:OEIS2C	[1;1,6,6,1,15,11,5,1,1,1,1,5,3,3,3,2,1,1,2,19,...]	-460 a -399	1.86002507922119030718069591571714332
0,80939 40205 40639 13071	Constant de Alladi-Grinstead		${𝒜}_{AG}$	$e^{-1+\sum _{k=2}^{\mathrm{\infty }}\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n{k}^{n+1}}}=e^{-1-\sum _{k=2}^{\mathrm{\infty }}\frac{1}{k}\ln (1-\frac{1}{k})}$	i^{(sum[k=2 to ∞] |sum[n=1 to ∞] {1/(n k^(n+1))})-1}		Plantilla:OEIS2C	[0;1,4,4,17,4,3,2,5,3,1,1,1,1,6,1,1,2,1,22,...]	1977	0.80939402054063913071793188059409131
1,26185 95071 42914 87419	Dimensió fractal del Cope de neu de Koch	Archiu:Koch snowflake05.ogv	$C_k$	$\frac{\log 4}{\log 3}$	log(4)/log(3)	T	Plantilla:OEIS2C	[1;3,1,4,1,1,11,1,46,1,5,112,1,1,1,1,1,3,1,7,...]		1.26185950714291487419905422868552171
1,22674 20107 20353 24441	Constant Factorial de Fibonacci		$F$	$\prod _{n=1}^{\mathrm{\infty }}(1-{(-\frac{1}{{\phi }^2})}^n)=\prod _{n=1}^{\mathrm{\infty }}(1-{\left(\frac{\sqrt{5}-3}{2}\right)}^n)$	prod[n=1 to ∞] {1-((sqrt(5) -3)/2)^n}		Plantilla:OEIS2C	[1;4,2,2,3,2,15,9,1,2,1,2,15,7,6,21,3,5,1,23,...]		1.22674201072035324441763023045536165
0,85073 61882 01867 26036	Constant de plegat de paper Plantilla:,	Archiu:Miura-ori.gif	$P_f$	$\sum _{n=0}^{\mathrm{\infty }}\frac{8^{2^n}}{2^{2^{n+2}}-1}=\sum _{n=0}^{\mathrm{\infty }}\frac{\frac{1}{2^{2^n}}}{1-\frac{1}{2^{2^{n+2}}}}$	N[Sum[n=0 to ∞] {8^2^n/(2^2^ (n+2)-1)},37]		Plantilla:OEIS2C	[0;1,5,1,2,3,21,1,4,107,7,5,2,1,2,1,1,2,1,6,...]	?	0.85073618820186726036779776053206660
6,58088 59910 17920 97085	Constant de Froda		$2^e$	$2^e$	2^i			[6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...]		6.58088599101792097085154240388648649
– 0,5 ± 0,86602 54037 84438 64676 i	Raïl cúbica de 1	Archiu:3rd roots of unity.svg	$\sqrt[3]{1}$	$\{\begin{array}{c}1\\ -\frac{1}{2}+\frac{\sqrt{3}}{2}i\\ -\frac{1}{2}-\frac{\sqrt{3}}{2}i.\end{array}$	1, I^(2i pi/3) , I^(-2i pi/3)	CA	Plantilla:OEIS2C	- [0,5] ± [0;1,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] i - [0,5] ± [0; 1, Plantilla:Overline] i		- 0,5 ± 0.8660254037844386467637231707529 i
1,11786 41511 89944 97314	Constant de Goh-Schmutz		$C_{GS}$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{\log (s+1)}{e^s-1}ds=-\sum _{n=1}^{\mathrm{\infty }}\frac{e^n}{n}Ei(-n)\stackrel{Ei:}{\underset{Exponencial}{Integral}}$	Integrate{ log(s+1) /(I^s-1)}		Plantilla:OEIS2C	[1;8,2,15,2,7,2,1,1,1,1,2,3,5,3,5,1,1,4,13,1,...]		1.11786415118994497314040996202656544
1,11072 07345 39591 56175	Raó entre un quadrat i la circumferència circumscrita	Archiu:Circumscribed2.png	$\frac{\pi }{2\sqrt{2}}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{\lfloor \frac{n-1}{2}\rfloor }}{2n+1}=\frac{1}{1}+\frac{1}{3}-\frac{1}{5}-\frac{1}{7}+\frac{1}{9}+\frac{1}{11}-\mathrm{...}$	Sum[n=1 to ∞] {(-1)^(floor((n-1)/2)) /(2n-1)}	T	Plantilla:OEIS2C	[1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...]		1.11072073453959156175397024751517342
2,82641 99970 67591 57554	Constant de Murata		$C_m$	$\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:primo}{(1+\frac{1}{(p_n-1{)}^2})}$	Prod[n=1 to ∞] {1+1/(prime(n) -1)^2}	T ?	Plantilla:OEIS2C	[2;1,4,1,3,5,2,2,2,4,3,2,1,3,2,1,1,1,8,2,2,28,...]		2.82641999706759157554639174723695374
1,52362 70862 02492 10627	Dimensió fractal de la frontera de la Curva del dragó	Archiu:Fractal dragon curve.jpg	$C_d$	$\frac{\log \left(\frac{1+\sqrt[3]{73-6\sqrt{87}}+\sqrt[3]{73+6\sqrt{87}}}{3}\right)}{\log (2)}$	(log((1+(73-6 sqrt(87))^1/3+ (73+6 sqrt(87))^1/3) /3))/ log(2)))	T		[1;1,1,10,12,2,1,149,1,1,1,3,11,1,3,17,4,1,...]		1.52362708620249210627768393595421662
1,30637 78838 63080 69046	Constant de Mills		$\theta$ És primer	$\lfloor {\theta }^{3^n}\rfloor$	Nest[ NextPrime[#^3] &, 2, 7]^(1/3^8)		Plantilla:OEIS2C	[1;3,3,1,3,1,2,1,2,1,4,2,35,21,1,4,4,1,1,3,2,...]	1947	1.30637788386308069046861449260260571
2,02988 32128 19307 25004	Volum hiperbòlic del Complement del Nuc en Forma de Huit	Archiu:Blue Figure-Eight Knot.png	$V_8$	$2\sqrt{3}\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n(\genfrac{}{}{0ex}{}{2n}{n})}\sum _{k=n}^{2n-1}\frac{1}{k}=6\underset{0}{\overset{\pi /3}{\int }}\log \left(\frac{1}{2\sin t}\right)dt=$ $\frac{\sqrt{3}}{9}\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{27^n}\{\frac{18}{(6n+1{)}^2}-\frac{18}{(6n+2{)}^2}-\frac{24}{(6n+3{)}^2}-\frac{6}{(6n+4{)}^2}+\frac{2}{(6n+5{)}^2}\}$	6 integral[0 to pi/3] {log(1/(2 sense (n)))}		Plantilla:OEIS2C	[2;33,2,6,2,1,2,2,5,1,1,7,1,1,1,113,1,4,5,1,...]		2.02988321281930725004240510854904057
1,46707 80794 33975 47289	Constant de Porter		$C$	$\frac{6\ln 2}{{\pi }^2}(3\ln 2+4\gamma -\frac{24}{{\pi }^2}{\zeta }^{\prime }(2)-2)-\frac{1}{2}$ $\gamma \text{= Constante de Euler–Mascheroni = 0,5772156649...}$ ${\zeta }^{\prime }(2)\text{= Derivada de }\zeta (2)=-\sum {\mathrm{\backslash limits}}_{n=2}^{\mathrm{\infty }}\frac{\ln n}{n^2}\text{= −0,9375482543...}$	6*ln2/Pi^2(3*ln2+ 4 EulerGamma- WeierstrassZeta'(2) *24/Pi^2-2)-1/2		Plantilla:OEIS2C	[1;2,7,10,1,2,38,5,4,1,4,12,5,1,5,1,2,3,1,...]	1974	1.46707807943397547289779848470722995
1,85193 70519 82466 17036	Constant de Gibbs	Archiu:Int si(x).PNG	$Si(\pi )$ Integral senoidal	$\underset{0}{\overset{\pi }{\int }}\frac{\sin t}{t}dt=\sum _{n=1}^{\mathrm{\infty }}(-1{)}^{n-1}\frac{{\pi }^{2n-1}}{(2n-1)(2n-1)!}$ $=\pi -\frac{{\pi }^3}{3*3!}+\frac{{\pi }^5}{5*5!}-\frac{{\pi }^7}{7*7!}+\mathrm{...}$	SinIntegral[Pi]		Plantilla:OEIS2C	[1;1,5,1,3,15,1,5,3,2,7,2,1,62,1,3,110,1,39,...]		1.85193705198246617036105337015799136
1,78221 39781 91369 11177	Constant de Grothendieck		$K_R$	$\frac{\pi }{2\log (1+\sqrt{2})}=\frac{\pi }{2\mathrm{arsinh}1}$	pi/(2 log(1+sqrt(2)))		Plantilla:OEIS2C	[1;1,3,1,1,2,4,2,1,1,17,1,12,4,3,5,10,1,1,3,...]		1.78221397819136911177441345297254934
1,74540 56624 07346 86349	Constant mija harmònica de Khinchin	Archiu:Plot harmonic mean.png	$K_{-1}$	$\frac{\log 2}{\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n}\log (1+\frac{1}{n(n+2)})}=\underset{n\to \mathrm{\infty }}{\lim }\frac{n}{\frac{1}{a_1}+\frac{1}{a_2}+\mathrm{...}+\frac{1}{a_n}}$ a1...an són elements d'una fracció contínua [a0;a1,a2,...,an]	(log 2)/ (sum[n=1 to ∞] {1/n log(1+ 1/(n(n+2))}		Plantilla:OEIS2C	[1;1,2,1,12,1,5,1,5,13,2,13,2,1,9,1,6,1,3,1,...]		1.74540566240734686349459630968366106
0,10841 01512 23111 36151	Constant de Trott		${\mathrm{T}}_1$	$[1,0,8,4,1,0,1,5,1,2,2,3,1,1,1,3,6,\mathrm{...}]$ $\frac{1}{1+\frac{1}{0+\frac{1}{8+\frac{1}{4+\frac{1}{1+\frac{1}{0+1/\mathrm{...}}}}}}}$	Trott Constant		Plantilla:OEIS2C	[0;9,4,2,5,1,2,2,3,1,1,1,3,6,1,5,1,1,2,...]		0.10841015122311136151129081140641509
1,45136 92348 83381 05028	Constant de Ramanujan–Soldner Plantilla:,	Archiu:Integrallogrithm.png	$\mu$	$\mathrm{L}\mathrm{i}(x)=\underset{0}{\overset{x}{\int }}\frac{dt}{\ln t}=0\mathrm{L}\mathrm{i}\text{= Integral logarítmica}$ $\mathrm{L}\mathrm{i}(x)=\mathrm{E}\mathrm{i}(\ln x)\mathrm{E}\mathrm{i}\text{= Integral exponencial}$	FindRoot[li(x) = 0]	I	Plantilla:OEIS2C	[1;2,4,1,1,1,3,1,1,1,2,47,2,4,1,12,1,1,2,2,1,...]	1792 a 1809	1.45136923488338105028396848589202744
0,64341 05462 88338 02618	Constant de Cahen		${\xi }_2$	$\sum _{k=1}^{\mathrm{\infty }}\frac{(-1{)}^k}{s_k-1}=\frac{1}{1}-\frac{1}{2}+\frac{1}{6}-\frac{1}{42}+\frac{1}{1806}\pm \cdots$ sk són térmens de la Successió de Sylvester 2, 3, 7, 43, 1807 ... Definida per $S_0=2,S_k=1+\prod _{n=0}^{k-1}{S}_n$ per a k>0		T	Plantilla:OEIS2C	[0; 1, 1, 1, 4, 9, 196, 16641, 639988804, ...]	1891	0.64341054628833802618225430775756476
-4,22745 35333 76265 408	Digamma (¼)	Archiu:Complex Polygamma 0.jpg	$\psi (\frac{1}{4})$	$-\gamma -\frac{\pi }{2}-3\ln 2=-\gamma +\sum _{n=0}^{\mathrm{\infty }}(\frac{1}{n+1}-\frac{1}{n+\frac{1}{4}})$	-EulerGamma -pi/2 -3 log 2		Plantilla:OEIS2C	-[4;4,2,1,1,10,1,5,9,11,1,22,1,1,14,1,2,1,4,...]		-4,2274535333762654080895301460966835
1,77245 38509 05516 02729	Constant de Carlson-Levin		$\Gamma (\frac{1}{2})$	$\sqrt{\pi }=(-\frac{1}{2})!=\underset{-\mathrm{\infty }}{\overset{\mathrm{\infty }}{\int }}\frac{1}{e^{x^2}}dx=\underset{0}{\overset{1}{\int }}\frac{1}{\sqrt{-\ln x}}dx$	sqrt (pi)	T	Plantilla:OEIS2C	[1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...]		1.77245385090551602729816748334114518
0,23571 11317 19232 93137	Constant de Copeland-Erdős		${𝒞}_{CE}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{p_n}{10^{n+\sum _{k=1}^n\lfloor {\log }_{10}{p}_k\rfloor }}$	sum[n=1 to ∞] {prime(n) /(n+(10^ sum[k=1 to n]{floor (log_10 prime(k))}))}	I	Plantilla:OEIS2C	[0;4,4,8,16,18,5,1,1,1,1,7,1,1,6,2,9,58,1,3,...]		0.23571113171923293137414347535961677
2,09455 14815 42326 59148	Constant de Wallis	Archiu:Wallis's Constant.png	$W$	$\sqrt[3]{\frac{45-\sqrt{1929}}{18}}+\sqrt[3]{\frac{45+\sqrt{1929}}{18}}$	(((45-sqrt(1929)) /18))^(1/3)+ (((45+sqrt(1929)) /18))^(1/3)	A	Plantilla:OEIS2C	[2;10,1,1,2,1,3,1,1,12,3,5,1,1,2,1,6,1,11,4,...]	1616 a 1703	2.09455148154232659148238654057930296
0,28674 74284 34478 73410	Constant Strongly Carefree		$K_2$	$\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:primo}{(1-\frac{3p_n-2}{{p_n}^3})}=\frac{6}{{\pi }^2}\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:primo}{(1-\frac{1}{p_n(p_n+1)})}$	N[ prod[k=1 to ∞] {1 - (3prime(k)-2) /(prime(k)^3)}]		Plantilla:OEIS2C	[0;3,2,19,3,12,1,5,1,5,1,5,2,1,1,1,1,1,3,7,...]		0.28674742843447873410789271278983845
0,56714 32904 09783 87299	Constant Omega, funció W(1) de Lambert	Archiu:Lambert-w.svg	$\Omega$	$\sum _{n=1}^{\mathrm{\infty }}\frac{(-n{)}^{n-1}}{n!}={\left(\frac{1}{e}\right)}^{{\left(\frac{1}{e}\right)}^{{\cdot }^{{\cdot }^{\left(\frac{1}{e}\right)}}}}=e^{-\Omega }=e^{-e^{-e^{{\cdot }^{{\cdot }^{-e}}}}}$	Sum[n=1 to ∞] {(-n)^(n-1)/n!}	T	Plantilla:OEIS2C	[0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,...]	1728 a 1777	0.56714329040978387299996866221035555
0,54325 89653 42976 70695	Constant de Bloch-Landau		$L$	$\frac{\Gamma (\frac{1}{3})\Gamma (\frac{5}{6})}{\Gamma (\frac{1}{6})}=\frac{(-\frac{2}{3})!(-1+\frac{5}{6})!}{(-1+\frac{1}{6})!}$	gamma(1/3) *gamma(5/6) /gamma(1/6)		Plantilla:OEIS2C	[0;1,1,5,3,1,1,2,1,1,6,3,1,8,11,2,1,1,27,4,...]	1929	0.54325896534297670695272829530061323
0,34053 73295 50999 14282	Constant de Pólya Random Walk	Archiu:Walk3d 0.png	$p(3)$	$1-{\left(\frac{3}{(2\pi {)}^3}\underset{-\pi }{\overset{\pi }{\int }}\underset{-\pi }{\overset{\pi }{\int }}\underset{-\pi }{\overset{\pi }{\int }}\frac{dxdydz}{3-\cos x-\cos y-\cos z}\right)}^{-1}$ $=1-16\sqrt{\frac{2}{3}}{\pi }^3{(\Gamma (\frac{1}{24})\Gamma (\frac{5}{24})\Gamma (\frac{7}{24})\Gamma (\frac{11}{24}))}^{-1}$	1-16*Sqrt[2/3]*Pi^3 /((Gamma[1/24] *Gamma[5/24] *Gamma[7/24] *Gamma[11/24])		Plantilla:OEIS2C	[0;2,1,14,1,3,8,1,5,2,7,1,12,1,5,59,1,1,1,3,...]		0.34053732955099914282627318443290289
0,35323 63718 54995 98454	Constant de Hafner-Sarnak-McCurley (1)		$\sigma$	$\prod _{k=1}^{\mathrm{\infty }}\{1-{[1-\prod _{j=1}^n(1-p_k^{-j})]}^2\}$	prod[k=1 to ∞] {1-(1-prod[j=1 to n] {1-prime(k)^-j})^2}		Plantilla:OEIS2C	[0;2,1,4,1,10,1,8,1,4,1,2,1,2,1,2,6,1,1,1,3,...]	1993	0.35323637185499598454351655043268201
0,74759 79202 53411 43517	Constant Pàrquing de Rényi	Archiu:Random car parking problem.svg Archiu:ParallelParkingAnimation2.gif	$m$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}{e}^{(-2\underset{0}{\overset{x}{\int }}\frac{1-e^{-y}}{y}dy)}dx=e^{-2\gamma }\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{e^{-2\Gamma (0,n)}}{n^2}$	[i^(-2*Gamma)] * Int{n,0,∞}[ i^(- 2*Gamma(0,n)) /n^2]		Plantilla:OEIS2C	[0;1,2,1,25,3,1,2,1,1,12,1,2,1,1,3,1,2,1,43,...]	1958	0.74759792025341143517873094383017817
0,60792 71018 54026 62866	Constant de Hafner-Sarnak-McCurley (2)		$\frac{1}{\zeta (2)}$	$\frac{6}{{\pi }^2}=\prod _{n=0}^{\mathrm{\infty }}\underset{p_n:primo}{(1-\frac{1}{{p_n}^2})}=(1-\frac{1}{2^2})(1-\frac{1}{3^2})(1-\frac{1}{5^2})\mathrm{...}$	Prod{n=1 to ∞} (1-1/prime(n)^2)	T	Plantilla:OEIS2C	[0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...]		0.60792710185402662866327677925836583
0,12345 67891 01112 13141	Constant de Champernowne	Archiu:Champernowne constant.svg	$C_{10}$	$\sum _{n=1}^{\mathrm{\infty }}\sum _{k=10^{n-1}}^{10^n-1}\frac{k}{10^{kn-9\sum _{j=0}^{n-1}10^j(n-j-1)}}$		T	Plantilla:OEIS2C	[0;8,9,1,149083,1,1,1,4,1,1,1,3,4,1,1,1,15,...]	1933	0.12345678910111213141516171819202123
0,76422 36535 89220 66299	Constant de Landau-Ramanujan		$K$	$\frac{1}{\sqrt{2}}\prod _{p\equiv 3mod4}\underset{p:primo}{{(1-\frac{1}{p^2})}^{-\frac{1}{2}}}=\frac{\pi }{4}\prod _{p\equiv 1mod4}\underset{p:primo}{{(1-\frac{1}{p^2})}^{\frac{1}{2}}}$		T ?	Plantilla:OEIS2C	[0;1,3,4,6,1,15,1,2,2,3,1,23,3,1,1,3,1,1,6,4,...]	1908	0.76422365358922066299069873125009232
1,58496 25007 21156 18145	Dimensió de Hausdorf del triàngul de Sierpinski	Archiu:SierpinskiTriangle-ani-0-7.gif	$lo{g}_{2}3$	$\frac{log3}{log2}=\frac{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{2^{2n+1}(2n+1)}}{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{3^{2n+1}(2n+1)}}=\frac{\frac{1}{2}+\frac{1}{24}+\frac{1}{160}+\mathrm{...}}{\frac{1}{3}+\frac{1}{81}+\frac{1}{1215}+\mathrm{...}}$	( Sum[n=0 to ∞] {1/(2^(2n+1)(2n+1))})/ ( Sum[n=0 to ∞] {1/(3^(2n+1)(2n+1))})	T	Plantilla:OEIS2C	[1;1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		1.58496250072115618145373894394781651
0,11000 10000 00000 00000 0001	Número de Liouville		${\text{£}}_{Li}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{10^{n!}}=\frac{1}{10^{1!}}+\frac{1}{10^{2!}}+\frac{1}{10^{3!}}+\frac{1}{10^{4!}}+\mathrm{...}$	Sum[n=1 to ∞] {10^(-n!)}	T	Plantilla:OEIS2C	[1;9,1,999,10,9999999999999,1,9,999,1,9]		0.11000100000000000000000100...
0,46364 76090 00806 11621	Série de Machin-Gregory	Archiu:Arctangent.svg	$\arctan \frac{1}{2}$	$\underset{Parax=1/2}{\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n{x}^{2n+1}}{2n+1}=\frac{1}{2}-\frac{1}{3\cdot 2^3}+\frac{1}{5\cdot 2^5}-\frac{1}{7\cdot 2^7}+\mathrm{...}}$	Sum[n=0 to ∞] {(-1)^n (1/2) ^(2n+1)/(2n+1)}	I	Plantilla:OEIS2C	[0;2,6,2,1,1,1,6,1,2,1,1,2,10,1,2,1,2,1,1,1,...]		0.46364760900080611621425623146121440
1,27323 95447 35162 68615	Série de Ramanujan-Forsyth		$\frac{4}{\pi }$	$\sum _{n=0}^{\mathrm{\infty }}{\left(\frac{(2n-3)!!}{(2n)!!}\right)}^2=1+{\left(\frac{1}{2}\right)}^2+{\left(\frac{1}{2\cdot 4}\right)}^2+{\left(\frac{1\cdot 3}{2\cdot 4\cdot 6}\right)}^2+\mathrm{...}$	Sum[n=0 to ∞] {[(2n-3)!! /(2n)!!]^2}	I	Plantilla:OEIS2C	[1;3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,1,1,10,...]		1.27323954473516268615107010698011489
15,15426 22414 79264 1897	Constant exponencial reiterat	Archiu:Exp-esc.png	$e^e$	$\sum _{n=0}^{\mathrm{\infty }}\frac{e^n}{n!}=\underset{n\to \mathrm{\infty }}{\lim }{\left(\frac{1+n}{n}\right)}^{n^{-n}(1+n{)}^{1+n}}$	Sum[n=0 to ∞] {(i^n)/n!}		Plantilla:OEIS2C	[15;6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,6,7,...]		15.1542622414792641897604302726299119
36,46215 96072 07911 77099	Pi elevat a pi		${\pi }^{\pi }$	${\pi }^{\pi }$	pi^pi		Plantilla:OEIS2C	[36;2,6,9,2,1,2,5,1,1,6,2,1,291,1,38,50,1,2,...]		36.4621596072079117709908260226921236
0,53964 54911 90413 18711	Constant de Ioachimescu		$2+\zeta (\frac{1}{2})$	$2-(1+\sqrt{2})\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{\sqrt{n}}=\gamma +\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{2n}{\gamma }_n}{2^{n}n!}$	γ +N [sum[n=1 to ∞] {((-1)^(2n) gamma_n) /(2^n n!)}]		2- Plantilla:OEIS2C	[0;1,1,5,1,4,6,1,1,2,6,1,1,2,1,1,1,37,3,2,1,...]		0.53964549119041318711050084748470198
2,58498 17595 79253 21706	Constant de Sierpiński	Archiu:Random Sierpinski Triangle animation.gif	$K$	$\pi (2\gamma +\ln \frac{4{\pi }^3}{\Gamma (\frac{1}{4}{)}^4})=\pi (2\gamma +4\ln \Gamma (\frac{3}{4})-\ln \pi )$ $=\pi (2\ln 2+3\ln \pi +2\gamma -4\ln \Gamma (\frac{1}{4}))$	-Pi Log[Pi]+2 Pi EulerGamma +4 Pi Log [Gamma[3/4]]		Plantilla:OEIS2C	[2;1,1,2,2,3,1,3,1,9,2,8,4,1,13,3,1,15,18,1,...]	1907	2.58498175957925321706589358738317116
1,83928 67552 14161 13255	Constant Tribonacci	Archiu:TRIBONACCI.jpg	${{\varphi }_{}}_3$	$\frac{1+\sqrt[3]{19+3\sqrt{33}}+\sqrt[3]{19-3\sqrt{33}}}{3}=1+{\left(\sqrt[3]{\frac{1}{2}+\sqrt[3]{\frac{1}{2}+\sqrt[3]{\frac{1}{2}+\mathrm{...}}}}\right)}^{-1}$	(1/3)*(1+(19+3 *sqrt(33))^(1/3) +(19-3 *sqrt(33))^(1/3))	A	Plantilla:OEIS2C	[1;1,5,4,2,305,1,8,2,1,4,6,14,3,1,13,5,1,7,...]		1.83928675521416113255185256465328660
0,69220 06275 55346 35386	Valor mínim de la funció ƒ(x) = xx		${\left(\frac{1}{e}\right)}^{\frac{1}{e}}$	$e^{-\frac{1}{e}}$ = Invers de: Número de Steiner	i^(-1/i)		Plantilla:OEIS2C	[0;1,2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]		0.69220062755534635386542199718278976
0,70710 67811 86547 52440 +0,70710 67811 86547 52440 i	Raïl quadrada de i	Archiu:Imaginary2Root.svg	$\sqrt{i}$	$\sqrt[4]{-1}=\frac{1+i}{\sqrt{2}}=e^{\frac{i\pi }{4}}=\cos \left(\frac{\pi }{4}\right)+i\sin \left(\frac{\pi }{4}\right)$	(1+i)/(sqrt 2)	C A	Plantilla:OEIS2C Plantilla:OEIS2C	[0;1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,..] = [0;1,Plantilla:Overline,...] [0;1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,..] i = [0;1,Plantilla:Overline,...] i		0.70710678118654752440084436210484903 + 0.70710678118654752440084436210484 i
1,15636 26843 32269 71685	Constant de recurrencia cúbica		${\sigma }_3$	$\prod _{n=1}^{\mathrm{\infty }}{n}^{3^{-n}}=\sqrt[3]{1\sqrt[3]{2\sqrt[3]{3\cdots }}}=1^{1/3}{2}^{1/9}{3}^{1/27}\cdots$	prod[n=1 to ∞] {n ^(1/3)^n}		Plantilla:OEIS2C	[1;6,2,1,1,8,13,1,3,2,2,6,2,1,2,1,1,1,10,33,...]		1.15636268433226971685337032288736935
1,66168 79496 33594 12129	Recurrencia quadràtica de Som		$\sigma$	$\prod _{n=1}^{\mathrm{\infty }}{n}^{{1/2}^n}=\sqrt{1\sqrt{2\sqrt{3\sqrt{4\cdots }}}}=1^{1/2}{2}^{1/4}{3}^{1/8}\cdots$	prod[n=1 to ∞] {n ^(1/2)^n}	T ?	Plantilla:OEIS2C	[1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...]		1.66168794963359412129581892274995074
0,95531 66181 24509 27816	Àngul màgic	Archiu:Magic angle.svg	${\theta }_m$	$\arctan \left(\sqrt{2}\right)=\arccos \left(\sqrt{\frac{1}{3}}\right)\approx {54,7356}^{\circ }$	arctan(sqrt(2))	T	Plantilla:OEIS2C	[0;1,21,2,1,1,1,2,1,2,2,4,1,2,9,1,2,1,1,1,3,...]		0.95531661812450927816385710251575775
0,59634 73623 23194 07434	Constant de Euler-Gompertz		$G$	$-e\mathrm{E}\mathrm{i}(-1)=\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{e^{-n}}{1+n}dn=\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{1+\frac{2}{1+\frac{3}{1+\frac{3}{1+4/\mathrm{...}}}}}}}}$	N[int[0 to ∞] {(i^-n)/(1+n)}]	I	Plantilla:OEIS2C	[0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...]		0.59634736232319407434107849936927937
0,69777 46579 64007 98200	Constant de fracció contínua, funció de Bessel		$C_{CF}$	$\frac{I_1(2)}{I_0(2)}=\frac{\sum _{n=0}^{\mathrm{\infty }}\frac{n}{n!n!}}{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n!n!}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{5+\frac{1}{6+1/\mathrm{...}}}}}}}$	(Sum {n=0 to ∞} n/(n!n!)) / (Sum {n=0 to ∞} 1/(n!n!))	I	Plantilla:OEIS2C	[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...] = [0;Plantilla:Overline], p∈ℕ		0.69777465796400798200679059255175260
0,36651 29205 81664 32701	Mijana distribució de Gumbel	Archiu:GumbelDichteF.svg	$l{l}_2$	$-\ln (\ln (2))$	-ln(ln(2))		Plantilla:OEIS2C	[0;2,1,2,1,2,6,1,6,6,2,2,2,1,12,1,8,1,1,3,1,...]		0.36816512920566432701243915823266947
0,64624 54398 94813 30426	Constant de Masser-Gramain		$C$	$\gamma \beta (1)+{\beta }^{\prime }(1)=\pi (-\ln \Gamma (\frac{1}{4})+\frac{3}{4}\pi +\frac{1}{2}\ln 2+\frac{1}{2}\gamma )$ $=\pi (-\ln (\frac{1}{4}!)+\frac{3}{4}\ln \pi -\frac{3}{2}\ln 2+\frac{1}{2}\gamma )$ $\gamma \text{= Constante de Euler–Mascheroni = 0,5772156649...}$ β() = Funció beta, Γ() = Funció Gamma	Pi/4*(2*Gamma + 2*Log[2] + 3*Log[Pi] - 4 Log[Gamma[1/4]])		Plantilla:OEIS2C	[0;1,1,1,4,1,3,2,3,9,1,33,1,4,3,3,5,3,1,3,4,...]		0.64624543989481330426647339684579279
0.69034 71261 14964 31946	Llímit superior exponencial iterado	Archiu:TetrationConvergence2D.png	$H_{2n+1}$	$\underset{n\to \mathrm{\infty }}{\lim }{H}_{2n+1}={\left(\frac{1}{2}\right)}^{{\left(\frac{1}{3}\right)}^{{\left(\frac{1}{4}\right)}^{{\cdot }^{{\cdot }^{\left(\frac{1}{2n+1}\right)}}}}}=2^{-3^{-4^{{\cdot }^{{\cdot }^{-2n-1}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12^-13 …		Plantilla:OEIS2C	[0;1,2,4,2,1,3,1,2,2,1,4,1,2,4,3,1,1,10,1,3,2,...]		0.69034712611496431946732843846418942
0,65836 55992	Llímit inferior exponencial iterado		$H_{2n}$	$\underset{n\to \mathrm{\infty }}{\lim }{H}_{2n}={\left(\frac{1}{2}\right)}^{{\left(\frac{1}{3}\right)}^{{\left(\frac{1}{4}\right)}^{{\cdot }^{{\cdot }^{\left(\frac{1}{2n}\right)}}}}}=2^{-3^{-4^{{\cdot }^{{\cdot }^{-2n}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12 …			[0;1,1,1,12,1,2,1,1,4,3,1,1,2,1,2,1,51,2,2,1,...]		0.6583655992...
2,71828 18284 59045 23536	Número i, constant de Euler	Archiu:Exp derivative at 0.svg	$e$	$\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n!}=\frac{1}{0!}+\frac{1}{1}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdots$ $2\prod _{n=1}^{\mathrm{\infty }}\sqrt[2^n]{\frac{\prod _{i=1}^{2^{n-1}}(2^n+2i)}{\prod _{i=1}^{2^{n-1}}(2^n+2i-1)}}=2\sqrt{\frac{4}{3}}\sqrt[4]{\frac{6\cdot 8}{5\cdot 7}}\sqrt[8]{\frac{10\cdot 12\cdot 14\cdot 16}{9\cdot 11\cdot 13\cdot 15}}\cdots$	Sum[n=0 to ∞] {1/n!}	T	Plantilla:OEIS2C	[2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [2;Plantilla:Overline], p∈ℕ	1618	2.71828182845904523536028747135266250
2,74723 82749 32304 33305	Raïls aniuades de Ramanujan R5		$R_5$	$\sqrt{5+\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5-\cdots }}}}}}}=\frac{2+\sqrt{5}+\sqrt{15-6\sqrt{5}}}{2}$	(2+sqrt(5) +sqrt(15 -6 sqrt(5)))/2	A		[2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...]		2.74723827493230433305746518613420282
2,23606 79774 99789 69640	Raïl quadrada de cinc Sumixca de Gauss	Archiu:Pinwheel 1.svg	$\sqrt{5}$	$(n=5)\sum _{k=0}^{n-1}{e}^{\frac{2k^2\pi i}{n}}=1+e^{\frac{2\pi i}{5}}+e^{\frac{8\pi i}{5}}+e^{\frac{18\pi i}{5}}+e^{\frac{32\pi i}{5}}$	Sum[k=0 to 4] {i^(2k^2 pi i/5)}	A	Plantilla:OEIS2C	[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;Plantilla:Overline,...]		2.23606797749978969640917366873127624
1,09864 19643 94156 48573	Constant París		$C_{Pa}$	$\prod _{n=2}^{\mathrm{\infty }}\frac{2\phi }{\phi +{\phi }_n},\phi =Fi$  en  ${\phi }_n=\sqrt{1+{\phi }_{n-1}}$   i   ${\phi }_1=1$			Plantilla:OEIS2C	[1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...]		1.09864196439415648573466891734359621
0,11494 20448 53296 20070	Constant de Kepler–Bouwkamp	Archiu:Regular polygons qtl4.svg	$\rho$	$\prod _{n=3}^{\mathrm{\infty }}\cos \left(\frac{\pi }{n}\right)=\cos \left(\frac{\pi }{3}\right)\cos \left(\frac{\pi }{4}\right)\cos \left(\frac{\pi }{5}\right)\mathrm{...}$	prod[n=3 to ∞] {cos(pi/n)}		Plantilla:OEIS2C	[0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...]		0.11494204485329620070104015746959874
1,28242 71291 00622 63687	Constant de Glaisher–Kinkelin		$A$	$e^{\frac{1}{12}-{\zeta }^{\prime }(-1)}=e^{\frac{1}{8}-\frac{1}{2}\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n+1}\sum _{k=0}^n{(-1)}^k(\genfrac{}{}{0ex}{}{n}{k}){(k+1)}^2\ln (k+1)}$	i^(1/2-zeta´{-1})	T ?	Plantilla:OEIS2C	[1;3,1,1,5,1,1,1,3,12,4,1,271,1,1,2,7,1,35,...]	1878	1.28242712910062263687534256886979172
3,62560 99082 21908 31193	Gamma(1/4)	Archiu:Gamma abs 3D.png	$\Gamma (\frac{1}{4})$	$4\left(\frac{1}{4}\right)!=(2\pi {)}^{\frac{3}{4}}\prod _{k=1}^{\mathrm{\infty }}\tanh \left(\frac{\pi k}{2}\right)$	4(1/4)!	T	Plantilla:OEIS2C	[3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...]	1729	3.62560990822190831193068515586767200
1,78107 24179 90197 98523	Exp.gamma per funció G-Barnes		$e^{\gamma }$	$\prod _{n=1}^{\mathrm{\infty }}\frac{e^{\frac{1}{n}}}{1+\frac{1}{n}}=\prod _{n=0}^{\mathrm{\infty }}{(\prod _{k=0}^n(k+1{)}^{(-1{)}^{k+1}(\genfrac{}{}{0ex}{}{n}{k})})}^{\frac{1}{n+1}}=$ ${\left(\frac{2}{1}\right)}^{1/2}{\left(\frac{2^2}{1\cdot 3}\right)}^{1/3}{\left(\frac{2^3\cdot 4}{1\cdot 3^3}\right)}^{1/4}{\left(\frac{2^4\cdot 4^4}{1\cdot 3^6\cdot 5}\right)}^{1/5}\mathrm{...}$	Prod[n=1 to ∞] {i^(1/n)}/{1 + 1/n}		Plantilla:OEIS2C	[1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...]	1900	1.78107241799019798523650410310717954
0,18785 96424 62067 12024	MRB Constant, Marvin Ray Burns	Archiu:MRB-Gif.gif	$C_{{}_{MRB}}$	$\sum _{n=1}^{\mathrm{\infty }}(-1{)}^n(n^{1/n}-1)=-\sqrt[1]{1}+\sqrt[2]{2}-\sqrt[3]{3}+\sqrt[4]{4}\mathrm{...}$	Sum[n=1 to ∞] {(-1)^n (n^(1/n)-1)}		Plantilla:OEIS2C	[0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...]	1999	0.18785964246206712024851793405427323
1,01494 16064 09653 62502	Constant de Gieseking		$\pi \ln \beta$	$\frac{3\sqrt{3}}{4}(1-\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(3n+2{)}^2}+\sum _{n=1}^{\mathrm{\infty }}\frac{1}{(3n+1{)}^2})=$ $\frac{3\sqrt{3}}{4}(1-\frac{1}{2^2}+\frac{1}{4^2}-\frac{1}{5^2}+\frac{1}{7^2}\pm \mathrm{...})=\underset{0}{\overset{\frac{2\pi }{3}}{\int }}\ln (2\cos \frac{t}{2})\mathrm{d}t$	sqrt(3)*3/4 *(1 -Sum[n=0 to ∞] {1/((3n+2)^2)} +Sum[n=1 to ∞] {1/((3n+1)^2)})		Plantilla:OEIS2C	[1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...]	1912	1.01494160640965362502120255427452028
2,62205 75542 92119 81046	Constant Lemniscata	Archiu:Lemniscate of Gerono.svg	$\varpi$	$\pi G=4\sqrt{\frac{2}{\pi }}\Gamma {\left(\frac{5}{4}\right)}^2=\frac{1}{4}\sqrt{\frac{2}{\pi }}\Gamma {\left(\frac{1}{4}\right)}^2=4\sqrt{\frac{2}{\pi }}{(\frac{1}{4}!)}^2$	4 sqrt(2/pi) ((1/4)!)^2	T	Plantilla:OEIS2C	[2;1,1,1,1,1,4,1,2,5,1,1,1,14,9,2,6,2,9,4,1,...]	1798	2.62205755429211981046483958989111941
0,83462 68416 74073 18628	Constant de Gauss		$G$	$\underset{agm:Mediaaritm\acute{e}tica-geom\acute{e}trica}{\frac{1}{\mathrm{a}\mathrm{g}\mathrm{m}(1,\sqrt{2})}=\frac{4\sqrt{2}(\frac{1}{4}!{)}^2}{{\pi }^{3/2}}}$	(4 sqrt(2) ((1/4)!)^2) /pi^(3/2)	T	Plantilla:OEIS2C	[0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...]	1799	0.83462684167407318628142973279904680
0,00787 49969 97812 3844	Constant de Chaitin	Archiu:ProgramTree.svg	$\Omega$	$\sum _{p\in P}{2}^{-|p|}\stackrel{p:Programaquesepara}{\underset{P:Conjuntodetodoslosprogramasqueseparan.}{|p|:Tama\tilde{n}odelprograma}}$ Vore també: Problema de la parada		T	Plantilla:OEIS2C	[0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1]	1975	0.0078749969978123844
2,80777 02420 28519 36522	Constant Fransén–Robinson		$F$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{1}{\Gamma (x)}dx.=e+\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{e^{-x}}{{\pi }^2+{\ln }^{2}x}dx$	N[int[0 to ∞] {1/Gamma(x)}]		Plantilla:OEIS2C	[2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...]	1978	2.80777024202851936522150118655777293
1,01734 30619 84449 13971	Zeta(6)	Archiu:Zeta.png	$\zeta (6)$	$\frac{{\pi }^6}{945}=\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:primo}{\frac{1}{{1-p_n}^{-6}}}=\frac{1}{1-2^{-6}}\cdot \frac{1}{1-3^{-6}}\cdot \frac{1}{1-5^{-6}}\mathrm{...}$ $={\sum }_{n=1}^{\mathrm{\infty }}\frac{1}{n^6}=\frac{1}{1^6}+\frac{1}{2^6}+\frac{1}{3^6}+\frac{1}{4^6}+\frac{1}{5^6}+\mathrm{...}$	Prod[n=1 to ∞] {1/(1 -prime(n)^-6)}	T	Plantilla:OEIS2C	[1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...]		1.01734306198444913971451792979092052
1,64872 12707 00128 14684	Raïl quadrada del número i		$\sqrt{e}$	$\sum _{n=0}^{\mathrm{\infty }}\frac{1}{2^{n}n!}=\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(2n)!!}=\frac{1}{1}+\frac{1}{2}+\frac{1}{8}+\frac{1}{48}+\cdots$	sum[n=0 to ∞] {1/(2^n n!)}	T	Plantilla:OEIS2C	[1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...] = [1;1,Plantilla:Overline], p∈ℕ		1.64872127070012814684865078781416357
i ...	Número imaginario	Archiu:Complex numbers imaginary unit.svg	$i$	$\sqrt{-1}=\frac{\ln (-1)}{\pi }{\mathrm{e}}^{i\pi }=-1$	sqrt(-1)	CI			1501 à 1576	i
4,81047 73809 65351 65547	Constant de John		$\gamma$	$\sqrt[i]{i}=i^{-i}=i^{\frac{1}{i}}=(i^i{)}^{-1}=e^{\frac{\pi }{2}}$	i^(π/2)	T	Plantilla:OEIS2C	[4;1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,...]		4.81047738096535165547303566670383313
0.49801 56681 18356 04271 0.15494 98283 01810 68512 i	Factorial de i		$i!$	$\Gamma (1+i)=i\Gamma (i)=\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{t^i}{e^t}\mathrm{d}t$	Gamma(1+i)	C	Plantilla:OEIS2C Plantilla:OEIS2C	[0;6,2,4,1,8,1,46,2,2,3,5,1,10,7,5,1,7,2,...] - [0;2,125,2,18,1,2,1,1,19,1,1,1,2,3,34,...] i		0.49801566811835604271369111746219809 - 0.15494982830181068512495513048388 i
0,43828 29367 27032 11162 0,36059 24718 71385 485 i	Tetración infinita de i		${}^{\mathrm{\infty }}i$	$\underset{n\to \mathrm{\infty }}{\lim }{}^{n}i=\underset{n\to \mathrm{\infty }}{\lim }\underset{n}{\underbrace{i^{i^{{\cdot }^{{\cdot }^i}}}}}$	i^i^i^...	C	Plantilla:OEIS2C Plantilla:OEIS2C	[0;2,3,1,1,4,2,2,1,10,2,1,3,1,8,2,1,2,1, ...] + [0;2,1,3,2,2,3,1,5,5,1,2,1,10,10,6,1,1...] i		0.43828293672703211162697516355126482 + 0.36059247187138548595294052690600 i
0,56755 51633 06957 82538	Mòdul de la Tetración infinita de i		$|{}^{\mathrm{\infty }}i|$	$\underset{n\to \mathrm{\infty }}{\lim }\left|{}^{n}i\right|=\left|\underset{n\to \mathrm{\infty }}{\lim }\underset{n}{\underbrace{i^{i^{{\cdot }^{{\cdot }^i}}}}}\right|$	Mod(i^i^i^...)		Plantilla:OEIS2C	[0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...]		0.56755516330695782538461314419245334
0,26149 72128 47642 78375	Constant de Meissel-Mertens	Archiu:Meissel–Mertens constant definition.svg	$M$	$\underset{n\to \mathrm{\infty }}{\lim }(\sum _{p\le n}\frac{1}{p}-\ln (\ln (n)))=\underset{\gamma :\text{Constante de Euler},p:\text{primo}}{\gamma +\sum _p(\ln (1-\frac{1}{p})+\frac{1}{p})}$	gamma+ Sum[n=1 to ∞] {ln(1-1/prime(n)) +1/prime(n)}		Plantilla:OEIS2C	[0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,296,...]	1866 i 1873	0.26149721284764278375542683860869585
1,92878 00...	Constant de Wright		$\omega$	$\lfloor 2^{2^{2^{{\cdot }^{{\cdot }^{2^{\omega }}}}}}\rfloor$ = cosins: $$ $\lfloor 2^{\omega }\rfloor$ =3, $\lfloor 2^{2^{\omega }}\rfloor$ =13, $\lfloor 2^{2^{2^{\omega }}}\rfloor$ =16381, $\dots$			Plantilla:OEIS2C	[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]		1.9287800..
0,37395 58136 19202 28805	Constant de Artin		$C_{Artin}$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{p_n(p_n-1)})p_n\text{ = primos}$	Prod[n=1 to ∞] {1-1/(prime(n) (prime(n)-1))}		Plantilla:OEIS2C	[0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...]	1999	0.37395581361920228805472805434641641
4,66920 16091 02990 67185	Constant δ de Feigenbaum δ	Archiu:LogisticMap BifurcationDiagram.png	$\delta$	$\underset{n\to \mathrm{\infty }}{\lim }\frac{x_{n+1}-x_n}{x_{n+2}-x_{n+1}}x\in (3,8284;3,8495)$ $x_{n+1}=a{x}_n(1-x_n)o{x}_{n+1}=a\sin (x_n)$			Plantilla:OEIS2C	[4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...]	1975	4.66920160910299067185320382046620161
2,50290 78750 95892 82228	Constant α de Feigenbaum	Archiu:Mandelbrot zoom.gif	$\alpha$	$\underset{n\to \mathrm{\infty }}{\lim }\frac{d_n}{d_{n+1}}$			Plantilla:OEIS2C	[2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...]	1979	2.50290787509589282228390287321821578
5,97798 68121 78349 12266	Constant hexagonal Madelung 2		$H_2(2)$	$\pi \ln (3)\sqrt{3}$	Pi Log[3]Sqrt[3]		Plantilla:OEIS2C	[5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...]		5.97798681217834912266905331933922774
0,96894 61462 59369 38048	Constant Beta(3)		$\beta (3)$	$\frac{{\pi }^3}{32}=\sum _{n=1}^{\mathrm{\infty }}\frac{-1^{n+1}}{(-1+2n{)}^3}=\frac{1}{1^3}-\frac{1}{3^3}+\frac{1}{5^3}-\frac{1}{7^3}+\mathrm{...}$	Sum[n=1 to ∞] {(-1)^(n+1) /(-1+2n)^3}	T	Plantilla:OEIS2C	[0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...]		0.96894614625936938048363484584691860
1,90216 05831 04	Constant de Brun 2 = Σ invers primers bessons	Archiu:Bruns-constant.svg	$B_2$	$\underset{p,p+2:primos}{\sum (\frac{1}{p}+\frac{1}{p+2})}=(\frac{1}{3}+\frac{1}{5})+(\frac{1}{5}+\frac{1}{7})+(\frac{1}{11}+\frac{1}{13})+\mathrm{...}$	N[prod[n=2 to 0,870∞] [1-1/(prime(n) -1)^2]]		Plantilla:OEIS2C	[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]	1919	1.902160583104
0,87058 83799 75	Constant de Brun 4 = Σ invers primers bessons		$B_4$	$\underset{p,p+2,p+6,p+8:primos}{(\frac{1}{5}+\frac{1}{7}+\frac{1}{11}+\frac{1}{13})}+(\frac{1}{11}+\frac{1}{13}+\frac{1}{17}+\frac{1}{19})+\dots$			Plantilla:OEIS2C	[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]	1919	0.87058837997
22,45915 77183 61045 47342	pi^i		${\pi }^e$	${\pi }^e$	pi^i		Plantilla:OEIS2C	[22;2,5,1,1,1,1,1,3,2,1,1,3,9,15,25,1,1,5,...]		22.4591577183610454734271522045437350
3,14159 26535 89793 23846	Número π, constant d'Arquímedes Plantilla:,	Archiu:Sine cosine one period.svg	$\pi$	$\underset{n\to \mathrm{\infty }}{\lim }{2}^n\underset{n}{\underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\text{...}+\sqrt{2}}}}}}$	Sum[n=0 to ∞] {(-1)^n 4/(2n+1)}	T	Plantilla:OEIS2C	[3;7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]	-250	3.14159265358979323846264338327950288
0,28878 80950 86602 42127	Flajolet and Richmond		$Q$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{2^n})=(1-\frac{1}{2^1})(1-\frac{1}{2^2})(1-\frac{1}{2^3})\mathrm{...}$	prod[n=1 to ∞] {1-1/2^n}		Plantilla:OEIS2C	[0;3,2,6,4,1,2,1,9,2,1,2,3,2,3,5,1,2,1,1,6,1,...]	1992	0.28878809508660242127889972192923078
0,06598 80358 45312 53707	Llímit inferior de Tetración	Archiu:Infinite power tower.svg	$e^{-e}$	${\left(\frac{1}{e}\right)}^e$	1/(i^i)		Plantilla:OEIS2C	[0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...]		0.06598803584531253707679018759684642
0,31830 98861 83790 67153	Invers de Pi, Ramanujan		$\frac{1}{\pi }$	$\frac{2\sqrt{2}}{9801}\sum _{n=0}^{\mathrm{\infty }}\frac{(4n)!(1103+26390n)}{(n!{)}^{4}396^{4n}}$	2 sqrt(2)/9801 *Sum[n=0 to ∞] {((4n)!/n!^4)*(1103+ 26390n)/396^(4n)}	T	Plantilla:OEIS2C	[0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]		0.31830988618379067153776752674502872
0,63661 97723 67581 34307	Constant de Buffon	Archiu:Buffon2.png Agulla interseca llínea	$\frac{2}{\pi }$	$\frac{\sqrt{2}}{2}\cdot \frac{\sqrt{2+\sqrt{2}}}{2}\cdot \frac{\sqrt{2+\sqrt{2+\sqrt{2}}}}{2}\cdots$ Producte de François Viète	2/Pi	T	Plantilla:OEIS2C	[0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...]	1540 a 1603	0.63661977236758134307553505349005745
0,47494 93799 87920 65033	Constant de Weierstrass		$\sigma (\frac{1}{2})$	$\frac{e^{\frac{\pi }{8}}\sqrt{\pi }}{4*2^{3/4}(\frac{1}{4}!{)}^2}$	(I^(Pi/8) Sqrt[Pi]) /(4 2^(3/4) (1/4)!^2)		Plantilla:OEIS2C	[0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,4,8,6...]	1872 ?	0.47494937998792065033250463632798297
0,57721 56649 01532 86060	Constant de Euler-Mascheroni	Archiu:Euler-Mas.jpg	$\gamma$	$\sum _{n=1}^{\mathrm{\infty }}\sum _{k=0}^{\mathrm{\infty }}\frac{(-1{)}^k}{2^n+k}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n}-\ln (n)=\underset{0}{\overset{1}{\int }}-\ln (\ln \frac{1}{x})dx$	sum[n=1 to ∞] |sum[k=0 to ∞] {((-1)^k)/(2^n+k)}		Plantilla:OEIS2C	[0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,...]	1735	0.57721566490153286060651209008240243
1,70521 11401 05367 76428	Constant de Niven		$C$	$1+\sum _{n=2}^{\mathrm{\infty }}(1-\frac{1}{\zeta (n)})$	1+ Sum[n=2 to ∞] {1-(1/Zeta(n))}		Plantilla:OEIS2C	[1;1,2,2,1,1,4,1,1,3,4,4,8,4,1,1,2,1,1,11,1,...]	1969	1.70521114010536776428855145343450816
0,60459 97880 78072 61686	Relació entre l'àrea d'un triàngul equilátero i el seu círcul inscrit.	Archiu:Fano plane.svg	$\frac{\pi }{3\sqrt{3}}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n(\genfrac{}{}{0ex}{}{2n}{n})}=1-\frac{1}{2}+\frac{1}{4}-\frac{1}{5}+\frac{1}{7}-\frac{1}{8}+\cdots$ Série de Dirichlet	Sum[1/(n Binomial[2 n, n]) , {n, 1, ∞}]	T	Plantilla:OEIS2C	[0;1,1,1,1,8,10,2,2,3,3,1,9,2,5,4,1,27,27,6,6,...]		0.60459978807807261686469275254738524
3,24697 96037 17467 06105	Constant Silver de Tutte–Beraha		$\varsigma$	$2+2\cos \frac{2\pi }{7}=2+\frac{2+\sqrt[3]{7+7\sqrt[3]{7+7\sqrt[3]{7+\cdots }}}}{1+\sqrt[3]{7+7\sqrt[3]{7+7\sqrt[3]{7+\cdots }}}}$	2+2 cos(2Pi/7)	A	Plantilla:OEIS2C	[3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...]		3.24697960371746706105000976800847962
0,69314 71805 59945 30941	Logaritmo natural de 2 ||Archiu:Alternating Harmonic Series.PNG	$Ln(2)$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n{2}^n}=\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n}=\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots$	Sum[n=1 to ∞] {(-1)^(n+1)/n}	T	Plantilla:OEIS2C	[0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,1,1,1,2,1,1,...]	1550 a 1617	0.69314718055994530941723212145817657
0,66016 18158 46869 57392	Constant dels primers bessons		$C_2$	$\prod _{p=3}^{\mathrm{\infty }}\frac{p(p-2)}{(p-1{)}^2}$	prod[p=3 to ∞] {p(p-2)/(p-1)^2		Plantilla:OEIS2C	[0;1,1,1,16,2,2,2,2,1,18,2,2,11,1,1,2,4,1,...]	1922	0.66016181584686957392781211001455577
0,66274 34193 49181 58097	Constant llímit de Laplace	Archiu:Laplace limit.png	$\lambda$	$\frac{x{e}^{\sqrt{x^2+1}}}{\sqrt{x^2+1}+1}=1$	(x i^sqrt(x^2+1)) /(sqrt(x^2+1)+1) = 1		Plantilla:OEIS2C	[0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,1,1,2,1601,...]	1782	0.66274341934918158097474209710925290
0,28016 94990 23869 13303	Constant de Bernstein		$\beta$	$\frac{1}{2\sqrt{\pi }}$	1/(2 sqrt(pi))	T	Plantilla:OEIS2C	[0;3,1,1,3,9,6,3,1,3,14,34,2,1,1,60,2,2,1,1,...]	1913	0.28016949902386913303643649123067200
0,78343 05107 12134 40705	Sophomore's Dream 1 Johann Bernoulli	Archiu:Reve etudiant.svg	$I_1$	$\underset{0}{\overset{1}{\int }}{x}^{-x}dx=\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n^n}=\frac{1}{1^1}-\frac{1}{2^2}+\frac{1}{3^3}-\cdots$	Sum[n=1 to ∞] {-(-1)^n /n^n}		Plantilla:OEIS2C	[0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,2,1,14,...]	1697	0.78343051071213440705926438652697546
1,29128 59970 62663 54040	Sophomore's Dream 2 Johann Bernoulli	Archiu:Socd 001.png	$I_2$	$\underset{0}{\overset{1}{\int }}\frac{1}{x^x}dx=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^n}=\frac{1}{1^1}+\frac{1}{2^2}+\frac{1}{3^3}+\frac{1}{4^4}+\cdots$	Sum[n=1 to ∞] {1/(n^n)}		Plantilla:OEIS2C	[1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,2,4,...]	1697	1.29128599706266354040728259059560054
0,82246 70334 24113 21823	Constant Nielsen-Ramanujan		$\frac{\zeta (2)}{2}$	$\frac{{\pi }^2}{12}=\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n^2}=\frac{1}{1^2}-\frac{1}{2^2}+\frac{1}{3^2}-\frac{1}{4^2}+\frac{1}{5^2}-\mathrm{...}$	Sum[n=1 to ∞] {((-1)^(n+1))/n^2}	T	Plantilla:OEIS2C	[0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,1,1,1,4...]	1909	0.82246703342411321823620758332301259
0,78539 81633 97448 30961	Beta(1)	Archiu:Loglogisticcdf.svg	$\beta (1)$	$\frac{\pi }{4}=\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{2n+1}=\frac{1}{1}-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+\frac{1}{9}-\cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)}	T	Plantilla:OEIS2C	[0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,...]	1805 a 1859	0.78539816339744830961566084581987572
0,91596 55941 77219 01505	Constant de Catalan		$C$	$\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1}{\int }}\frac{1}{1+x^2{y}^2}dxdy=\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{(2n+1{)}^2}=\frac{1}{1^2}-\frac{1}{3^2}+\cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)^2}	T ?	Plantilla:OEIS2C	[0;1,10,1,8,1,88,4,1,1,7,22,1,2,3,26,1,11,...]	1864	0.91596559417721901505460351493238411
1,05946 30943 59295 26456	Interval entre semitonos de l'escala musical	Archiu:Rast scale.svg Archiu:YB0214 Clavier tempere.png	$\sqrt[12]{2}$	$440Hz.2^{\frac{1}{12}}{2}^{\frac{2}{12}}{2}^{\frac{3}{12}}{2}^{\frac{4}{12}}{2}^{\frac{5}{12}}{2}^{\frac{6}{12}}{2}^{\frac{7}{12}}{2}^{\frac{8}{12}}{2}^{\frac{9}{12}}{2}^{\frac{10}{12}}{2}^{\frac{11}{12}}2$ $\mathrm{...}D{o}_{1}Do\mathrm{\#}ReRe\mathrm{\#}MiFaFa\mathrm{\#}SolSol\mathrm{\#}LaLa\mathrm{\#}SiD{o}_2$ $\mathrm{....}{C}_{1}C\mathrm{\#}DD\mathrm{\#}EFF\mathrm{\#}GG\mathrm{\#}AA\mathrm{\#}B{C}_2$	2^(1/12)	A	Plantilla:OEIS2C	[1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...]		1.05946309435929526456182529494634170
1,13198 82487 943	Constant de Viswanath		$C_{Vi}$	$\underset{n\to \mathrm{\infty }}{\lim }|a_n{|}^{\frac{1}{n}}$      a on an = Successió de Fibonacci	lim_(n->∞) |a_n|^(1/n)	T ?	Plantilla:OEIS2C	[1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...]	1997	1.1319882487943 ...
1,20205 69031 59594 28539	Constant de Apéry	Archiu:Apéry's constant.svg	$\zeta (3)$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^3}=\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+\frac{1}{5^3}+\cdots =$ $\frac{1}{2}\sum _{n=1}^{\mathrm{\infty }}\frac{H_n}{n^2}=\frac{1}{2}\sum _{i=1}^{\mathrm{\infty }}\sum _{j=1}^{\mathrm{\infty }}\frac{1}{ij(i+j)}=\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1}{\int }}\frac{\mathrm{d}x\mathrm{d}y\mathrm{d}z}{1-xyz}$	Sum[n=1 to ∞] {1/n^3}	I	Plantilla:OEIS2C	[1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,7,1,1,7,11,...]	1979	1.20205690315959428539973816151144999
1,22541 67024 65177 64512	Gamma(3/4)		$\Gamma (\frac{3}{4})$	$(-1+\frac{3}{4})!=(-\frac{1}{4})!$	(-1+3/4)!		Plantilla:OEIS2C	[1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,8,...]		1.22541670246517764512909830336289053
1,25992 10498 94873 16476	Raïl cúbica de dos, constant Delian	Archiu:Riemann surface cube root.jpg	$\sqrt[3]{2}$	$\sqrt[3]{2}$	2^(1/3)	A	Plantilla:OEIS2C	[1;3,1,5,1,1,4,1,1,8,1,14,1,10,2,1,4,12,2,3,...]		1.25992104989487316476721060727822835
9,86960 44010 89358 61883	Pi al Quadrat		${\pi }^2$	$6\zeta (2)=6\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^2}=\frac{6}{1^2}+\frac{6}{2^2}+\frac{6}{3^2}+\frac{6}{4^2}+\cdots$	6 Sum[n=1 to ∞] {1/n^2}	T	Plantilla:OEIS2C	[9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,...]		9.86960440108935861883449099987615114
1,41421 35623 73095 04880	Raïl quadrada de 2, constant de Pitágoras	Archiu:Square root of 2 triangle.svg	$\sqrt{2}$	$\prod _{n=1}^{\mathrm{\infty }}1+\frac{(-1{)}^{n+1}}{2n-1}=(1+\frac{1}{1})(1-\frac{1}{3})(1+\frac{1}{5})\cdots$	prod[n=1 to ∞] {1+(-1)^(n+1) /(2n-1)}	A	Plantilla:OEIS2C	[1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...] = [1;Plantilla:Overline...]	< -800	1.41421356237309504880168872420969808
262 53741 26407 68743 ,99999 99999 99250 073	Constant de Hermite-Ramanujan		$R$	$e^{\pi \sqrt{163}}$	i^(π sqrt(163))	T	Plantilla:OEIS2C	[262537412640768743;1,1333462407511,1,8,1,1,5,...]	1859	262537412640768743.999999999999250073
0,76159 41559 55764 88811	Tangente hiperbòlica de 1	Archiu:Hyperbolic Tangent.svg	$th1$	$-i\tan (i)=\frac{e-\frac{1}{e}}{e+\frac{1}{e}}=\frac{e^2-1}{e^2+1}$	(i-1/i)/(i+1/i)	T	Plantilla:OEIS2C	[0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...] = [0;Plantilla:Overline], p∈ℕ		0.76159415595576488811945828260479359
0,36787 94411 71442 32159	Invers del Número i		$\frac{1}{e}$	$\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{n!}=\frac{1}{0!}-\frac{1}{1!}+\frac{1}{2!}-\frac{1}{3!}+\frac{1}{4!}-\frac{1}{5!}+\cdots$	sum[n=2 to ∞] {(-1)^n/n!}	T	Plantilla:OEIS2C	[0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...] = [0;2,1,Plantilla:Overline], p∈ℕ	1618	0.36787944117144232159552377016146086
1,53960 07178 39002 03869	Constant Square Isse de Lieb	Archiu:Sixvertex2.png	$W_{2D}$	$\underset{n\to \mathrm{\infty }}{\lim }(f(n){)}^{n^{-2}}={\left(\frac{4}{3}\right)}^{\frac{3}{2}}=\frac{8\sqrt{3}}{9}$	(4/3)^(3/2)	A	Plantilla:OEIS2C	[1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...]	1967	1.53960071783900203869106341467188655
1,23370 05501 36169 82735	Constant de Favard		$\frac{3}{4}\zeta (2)$	$\frac{{\pi }^2}{8}=\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(2n-1{)}^2}=\frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+\cdots$	sum[n=1 to ∞] {1/((2n-1)^2)}	T	Plantilla:OEIS2C	[1;4,3,1,1,2,2,5,1,1,1,1,2,1,2,1,10,4,3,1,1,...]	1902 a 1965	1.23370055013616982735431137498451889
7,38905 60989 30650 22723	Constant cònica de Schwarzschild	Archiu:Conic constant.svg	$e^2$	$\sum _{n=0}^{\mathrm{\infty }}\frac{2^n}{n!}=1+2+\frac{2^2}{2!}+\frac{2^3}{3!}+\frac{2^4}{4!}+\frac{2^5}{5!}+\mathrm{...}$	Sum[n=0 to ∞] {2^n/n!}	T	Plantilla:OEIS2C	[7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...] = [7,2,Plantilla:Overline], n = 3, 6, 9, etc.		7.38905609893065022723042746057500781
0,20787 95763 50761 90854	i^i		$i^i$	$e^{\frac{-\pi }{2}}$	i^(-pi/2)	T	Plantilla:OEIS2C	[0;4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,...]	1746	0.20787957635076190854695561983497877
1,44466 78610 09766 13365	Número de Steiner	Archiu:Infinite power tower.svg	$\sqrt[e]{e}$	$e^{1/e}$ Llímit superior de Tetración	i^(1/i)		Plantilla:OEIS2C	[1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]	1796 a 1863	1.44466786100976613365833910859643022
4,53236 01418 27193 80962	Constant de van der Pauw		$\alpha$	$\frac{\pi }{ln(2)}=\frac{\sum _{n=0}^{\mathrm{\infty }}\frac{4(-1{)}^n}{2n+1}}{\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n}}=\frac{\frac{4}{1}-\frac{4}{3}+\frac{4}{5}-\frac{4}{7}+\frac{4}{9}-\mathrm{...}}{\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\mathrm{...}}$	π/ln(2)		Plantilla:OEIS2C	[4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...]		4.53236014182719380962768294571666681
1,57079 63267 94896 61923	Constant de Favard K1 Producte de Wallis	Archiu:Wallis product-chart.png	$\frac{\pi }{2}$	$\prod _{n=1}^{\mathrm{\infty }}\left(\frac{4n^2}{4n^2-1}\right)=\frac{2}{1}\cdot \frac{2}{3}\cdot \frac{4}{3}\cdot \frac{4}{5}\cdot \frac{6}{5}\cdot \frac{6}{7}\cdot \frac{8}{7}\cdot \frac{8}{9}\cdots$	Prod[n=1 to ∞] {(4n^2)/(4n^2-1)}		Plantilla:OEIS2C	[1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,1,5,1...]	1655	1.57079632679489661923132169163975144
3,27582 29187 21811 15978	Constant de Khinchin-Lévy Plantilla:,		$\gamma$	$e^{{\pi }^2/(12\ln 2)}$	i^(pi^2/(12 ln(2))		Plantilla:OEIS2C	[3;3,1,1,1,2,29,1,130,1,12,3,8,2,4,1,3,55,...]	1936	3.27582291872181115978768188245384386
1,61803 39887 49894 84820	Phi, Número áureo Plantilla:,	Archiu:Animation GoldenerSchnitt.gif	$\phi$	$\frac{1+\sqrt{5}}{2}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots }}}}$	(1+5^(1/2))/2	A	Plantilla:OEIS2C	[0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...] = [0;Plantilla:Overline,...]	-300	1.61803398874989484820458683436563811
1,64493 40668 48226 43647	Funció Zeta (2) de Riemann		$\zeta (2)$	$\frac{{\pi }^2}{6}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^2}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\cdots$	Sum[n=1 to ∞] {1/n^2}	T	Plantilla:OEIS2C	[1;1,1,1,4,2,4,7,1,4,2,3,4,10 1,2,1,1,1,15,...]	1826 a 1866	1.64493406684822643647241516664602519
1,73205 08075 68877 29352	Constant de Theodorus	Archiu:Square root of 3 in cube.svg	$\sqrt{3}$	$\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\cdots }}}}}$	(3(3(3(3(3(3(3) ^1/3)^1/3)^1/3) ^1/3)^1/3)^1/3) ^1/3 ...	A	Plantilla:OEIS2C	[1;1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,...] = [1;Plantilla:Overline,...]	-465 a -398	1.73205080756887729352744634150587237
1,75793 27566 18004 53270	Número de Kasner		$R$	$\sqrt{1+\sqrt{2+\sqrt{3+\sqrt{4+\cdots }}}}$			Plantilla:OEIS2C	[1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...]	1878 a 1955	1.75793275661800453270881963821813852
2,29558 71493 92638 07403	Constant universal parabòlica	Archiu:Parabola animada.gif	$P_2$	$\ln (1+\sqrt{2})+\sqrt{2}=\mathrm{arcsinh}(1)+\sqrt{2}$	ln(1+sqrt 2)+sqrt 2	T	Plantilla:OEIS2C	[2;3,2,1,1,1,1,3,3,1,1,4,2,3,2,7,1,6,1,8,7,2,1,...]		2.29558714939263807403429804918949038
3,30277 56377 31994 64655	Número de bronze		${\sigma }_{Rr}$	$\frac{3+\sqrt{13}}{2}=1+\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{3+\cdots }}}}$	(3+sqrt 13)/2	A	Plantilla:OEIS2C	[3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...] = [3;Plantilla:Overline,...]		3.30277563773199464655961063373524797
2,37313 82208 31250 90564	Constant de Lévy 2		$2ln\gamma$	$\frac{{\pi }^2}{6ln(2)}$	Pi^(2)/(6*ln(2))	T	Plantilla:OEIS2C	[2;2,1,2,8,57,9,32,1,1,2,1,2,1,2,1,2,1,3,2,...]	1936	2.37313822083125090564344595189447424
2,50662 82746 31000 50241	Raïl quadrada de 2 pi	Archiu:Stirling's Approximation Small.png	$\sqrt{2\pi }$	$\sqrt{2\pi }=\underset{n\to \mathrm{\infty }}{\lim }\frac{n!e^n}{n^n\sqrt{n}}\mathrm{....}$ Fòrmula de Stirling	sqrt (2*pi)	T	Plantilla:OEIS2C	[2;1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,...]	1692 a 1770	2.50662827463100050241576528481104525
2,66514 41426 90225 18865	Constant de Gelfond-Schneider		$G_{GS}$	$2^{\sqrt{2}}$	2^sqrt{2}	T	Plantilla:OEIS2C	[2;1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,...]	1934	2.66514414269022518865029724987313985
2,68545 20010 65306 44530	Constant de Khinchin	Archiu:KhinchinBeispiele.svg	$K_0$	$\prod _{n=1}^{\mathrm{\infty }}{\left[1+\frac{1}{n(n+2)}\right]}^{\frac{\ln n}{\ln 2}}=\underset{n\to \mathrm{\infty }}{\lim }{\left(\prod _{k=1}^n{a}_k\right)}^{\frac{1}{n}}$ ... a on ak són elements de la fracció contínua [a0; a1, a2, a3, ...]	prod[n=1 to ∞] {(1+1/(n(n+2))) ^((ln(n)/ln(2))}	T	Plantilla:OEIS2C	[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]	1934	2.68545200106530644530971483548179569
3,35988 56662 43177 55317	Constant de Prévost, sum. inversos de Fibonacci		$\Psi$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{F_n}=\frac{1}{1}+\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{5}+\frac{1}{8}+\frac{1}{13}+\cdots$		I	Plantilla:OEIS2C	[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]	1977	3.35988566624317755317201130291892717
1,32471 79572 44746 02596	Número plàstic	Archiu:Nombre plastique.svg	$\rho$	$\sqrt[3]{1+\sqrt[3]{1+\sqrt[3]{1+\cdots }}}=\sqrt[3]{\frac{1}{2}+\frac{1}{6}\sqrt{\frac{23}{3}}}+\sqrt[3]{\frac{1}{2}-\frac{1}{6}\sqrt{\frac{23}{3}}}$		A	Plantilla:OEIS2C	[1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,...]	1929	1.32471795724474602596090885447809734
4,13273 13541 22492 93846	Raïl de 2 i pi		$\sqrt{2e\pi }$	$\sqrt{2e\pi }$	sqrt(2i pi)		Plantilla:OEIS2C	[4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...]		4.13273135412249293846939188429985264
23,14069 26327 79269 00572	Constant de Gelfond		$e^{\pi }$	$(-1{)}^{-i}=i^{-2i}=\sum _{n=0}^{\mathrm{\infty }}\frac{{\pi }^n}{n!}=\frac{{\pi }^1}{1}+\frac{{\pi }^2}{2!}+\frac{{\pi }^3}{3!}+\cdots$	Sum[n=0 to ∞] {(pi^n)/n!}	T	Plantilla:OEIS2C	[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...]	1906 a 1968	23.1406926327792690057290863679485474

Taula de constants matemàtics

Abreujaments usats:

• R - Número racional
• I - Número irracional algebraic
• T - número irracional transcendental
• ? - desconegut

0	0	zero	R	-	-
1	1	u	R	-	-
2	2	dos	R	-	-
$\pi$	3,14159 26535 89793 23846 26433 83279 50288 41971	Pi, constant d'Arquímedes o número de Ludolph	T	10.000.000.000.050	22/10/2011
$e=\underset{n\to \mathrm{\infty }}{\lim }{(1+\frac{1}{n})}^n$	2,71828 18284 59045 23536 02874 71352 66249 77572	Constant de Napier, base del logaritmo natural	T	1.000.000.000.000	2010
$\sqrt{2}$	1,41421 35623 73095 04880 16887 24209 69807 85696	Raïl quadrada de dos, constant de Pitágoras.	I	1.000.000.000.000	2010
$\sqrt{3}$	1,73205 08075 68877 29352 74463 41505 87236 69428	Raïl quadrada de tres	I	10.000.000
$\sqrt{5}$	2,23606 79774 99789 69640 91736 68731 27623 54406	Raïl quadrada de cinc	I	10.000.000	20/12/1999
$\varphi ,\tau =\frac{1+\sqrt{5}}{2}$	1,61803 39887 49894 84820 45868 34365 63811 77203	Número áureo, simbolisat tant com φ com per τ.	I	1.000.000.000.000	2010
$\gamma =\underset{n\to \mathrm{\infty }}{\lim }[\sum _{k=1}^n\frac{1}{k}-\ln (n)]$	0,57721 56649 01532 86060 65120 90082 40243 10421	Constant de Euler-Mascheroni	?	29.844.489.545	2009
$\alpha$	-2,50290 78750 95892 82228 39028 73218 21578 63812	Constant α de Feigenbaum		1018	1999
$\delta$	4,66920 16091 02990 67185 32038 20466 20161 72581	Constant δ de Feigenbaum		1018	1999
$C_{artin}=\prod _{pprimo}(1-\frac{1}{p(p-1)})$	0,37395 58136 19202 28805 47280 54346 41641 51116	Constant de Artin		1000	1999
$C_2=\prod _{p\ge 3}\frac{p(p-2)}{(p-1{)}^2}$	0,66016 18158 46869 57392 78121 10014 55577 84326	Constant dels primers bessons		5.020	2001
$B_2$	1,90216 0582	Constant de Brun per als primers bessons		9	1999 / 2002

Enllaços externs

• Inverse Symbolic Calculator, Plouffe's Inverter
• Taules de decimals de constants en http://www.gutenberg.org.
• Miscellaneous Mathematical Constants - 170000 digits of Euler or gamma.
• On-line Encyclopedia of Integer Sequences (OEIS)
• Simon Plouffe, Tables of Constants
• Simon Plouffe, Inverse Symbolic Calculator
• Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms
• MathConstants
• Constants - from Wolfram MathWorld en MathWorld.