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Constantes matemáticas

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Recopilación de las constantes matemáticas más importantes.

Las últimas constantes subidas, se pueden localizar al principio de la lista.

Para ordenar la tabla por cualquiera de las columnas, basta con pulsar en el titular de la cabecera.

Estructura de las tablas

  • Valor numérico de la constante y enlace a Mathworld.wolfram.com
  • LaTeX: Fórmula o serie en el formato TeX.
  • Fórmula: Para utilizar en programas como Wolfram Alpha. Si en los cálculos, ∞ demora mucho tiempo, puede cambiarse por 20000, para obtener un resultado aproximado.
  • OEIS: On-Line Encyclopedia of Integer Sequences
  • Referencia: Enlace donde se puede consultar la constante con más detalles.
  • Fracción continua: En el formato simple [Parte entera; frac1, frac2, frac3, ...] (entre paréntesis si es periódica)
  • Año: Del descubrimiento de la constante, o datos del autor.
  • Formato web: Valor de la constante, en formato adecuado para los buscadores web.

Lista de constantes

Puede elegir el orden de la lista, pulsando en el nombre, valor, OEIS, etc.

Valor Nombre Símbolo LaTeX Fórmula Referencia OEIS Fracción continua Año Formato web
1,30357 72690 34296 39125 ··· Constante de Conway [1] T A014715 [1;3,3,2,2,54,5,2,1,16,1,30,1,1,1,2,2,1,14,1,...] 1987 1.30357726903429639125709911215255189
0,83564 88482 64721 05333 Constante de Baker [2] Sum[n=0 to ∞]
{((-1)^(n))/(3n+1)}
Baker constant.png Imagen: Ignacitum T A113476 [0;1,5,11,1,4,1,6,1,4,1,1,1,2,1,3,2,2,2,2,1,3,...] 0.83564884826472105333710345970011076
1,18656 91104 15625 45282 ··· Constante de Khinchin-Lévy [3] pi^2 /(12 ln 2) T A100199 [1;5,2,1,3,1,1,28,18,16,3,2,6,2,6,1,1,5,5,9,...] 1935 1.18656911041562545282172297594723712
23,10344 79094 20541 61603 ··· Serie de Kempner(0) [4]

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+...
Programa en Java para calcular la suma de los inversos que no contienen ceros. [5] T A082839 [23;9,1,2,3244,1,1,5,1,2,2,8,3,1,1,6,1,84,1,...] 23.1034479094205416160340540433255981
0,19452 80494 65325 11361 ··· 2ª Constante Du Bois Reymond [6] (e^2-7)/2 T A062546 [0;5,7,9,11,13,15,17,19,21,23,25,27,29,31,...]
= [0;(2p+3)], p∈ℕ
0.19452804946532511361521373028750390
0,98943 12738 31146 95174 ··· Constante de Lebesgue [7] 4/pi^2*[(2
Sum[k=1 to ∞]
{ln(k)/(4*k^2-1)})
-poligamma(1/2)]
T A243277 [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 Constante Beta Kneser-Mahler [8] e^((PolyGamma(1,4/3)
- PolyGamma(1,2/3)
+9)/(4*sqrt(3)*Pi))
A242710 [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 ··· Constante de Foias α [9] x(n+1)
= (1+1/x(n))^n
A085848 [1;5,2,1,81,3,2,2,1,1,1,1,1,6,1,1,3,1,1,4,3,2,...] ? 1.18745235112650105459548015839651935
2,29316 62874 11861 03150 ··· Constante de Foias β x^(x+1)
= (x+1)^x
Foias.png Imagen: Ignacitum A085846 [2;3,2,2,3,4,2,3,2,130,1,1,1,1,1,6,3,2,1,15,1,...] ? 2.29316628741186103150802829125080586
0,66170 71822 67176 23515 ··· Constante de Robbins [10] (4+17*2^(1/2)-6
*3^(1/2)+21*ln(1+
2^(1/2))+42*ln(2+
3^(1/2))-7*Pi)/105
A073012 [0;1,1,1,21,1,2,1,4,10,1,2,2,1,3,11,1,331,1,4,...] 1978 0.66170718226717623515583113324841358
1,08366 ... Constante de Legendre [11]

A228211 [1; 11, 1, 20, 2, 1, 12, 2, 2] 1798 1.08366
0,92883 58271 ... Constante entre primos gemelos de JJGJJG [12] 1/4 + 1/6 + 1/12 + 1/18 + 1/30 + 1/42 + 1/60 + 1/72 + ... A241560 [0; 1, 13, 19, 4, 2, 3, 1, 1] 2014 0.928835827131
5,24411 51085 84239 62092 ··· Constante Lemniscata [13] Gamma[ 1/4 ]^2
/Sqrt[ 2 Pi ]
T A064853 [5;4,10,2,1,2,3,29,4,1,2,1,2,1,2,1,4,9,1,4,1,2,...] 5.24411510858423962092967917978223883
0,78853 05659 11508 96106 ... Constante de Lüroth[14] Sum[n=2 to ∞]
log(n/(n-1))/n
A085361 [0;1,3,1,2,1,2,4,1,127,1,2,2,1,3,8,1,1,2,1,16,...] ? 0.78853056591150896106027632216944432
0,57595 99688 92945 43964 ··· Constante Stephens [15] Prod[n=1 to ∞]
{1-hprime(n)
/(hprime(n)^3-1)}
T A065478 [0;1,1,2,1,3,1,3,1,2,1,77,2,1,1,10,2,1,1,1,7,...] ? 0.57595996889294543964316337549249669
0,73908513321516064165531208767387340 Número de Dottie [16] cos(c)=c Dottie.png Imagen: Ignacitum I A003957 [0;1,2,1,4,1,40,1,9,4,2,1,15,2,12,1,21,1,17,...]
0,67823449191739197803553827948289481 Constante Taniguchi [17]
Prod[n=1 to ∞] {1
-3/ithprime(n)^3
+2/ithprime(n)^4
+1/ithprime(n)^5
-1/ithprime(n)^6}
T A175639 [0;1,2,9,3,1,2,9,11,1,13,2,15,1,1,1,2,4,1,1,1,...]
1,35845627418298843520618060050187945 Constante espiral áurea [18] GoldenRatio^(2/Pi) I A212224 [1;2,1,3,1,3,10,8,1,1,8,1,15,6,1,3,1,1,2,3,1,1,...]
2,79128784747792000329402359686400424 Raíces anidadas S5

(sqrt(21) + 1)/2 I A222134 [2;1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,...]
[2;(1,3)]
1,85407467730137191843385034719526005 Constante Lemniscata de Gauss [19] pi^(3/2)/(2 Gamma(3/4)^2) T A093341 [1;1,5,1,5,1,3,1,6,2,1,4,16,3,112,2,1,1,18,1,...]
1,75874362795118482469989684865589317 Constante Producto infinito, con Alladi-Grinstead [20] Prod[n=2 to inf] {(1+1/n)^(1/n)}
?
[1;1,3,6,1,8,1,4,3,1,4,1,1,1,6,5,2,40,1,387,2,...]
1,73245471460063347358302531586082968 Constante inversa de Euler-Mascheroni 1/Integrate_
{x=0 to 1}
-log(log(1/x))
?
A098907 [1;1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,11,...]
1,94359643682075920505707036257476343 Constante Euler Totient

[21] [22]

zeta(2)*zeta(3)
/zeta(6)
Gráfico función fi.png Imagen: M.R.Schmidtke T A082695 [1;1,16,1,2,1,2,3,1,1,3,2,1,8,1,1,1,1,1,1,1,32,...]
1,49534878122122054191189899414091339 Raiz cuarta de cinco [23] (5(5(5(5(5(5(5)
^1/5)^1/5)^1/5)
^1/5)^1/5)^1/5)
^1/5 ...
I A011003 [1;2,53,4,96,2,1,6,2,2,2,6,1,4,1,49,17,2,3,2,...]
0,87228404106562797617519753217122587 Área Círculo de Ford [24] ζ() = ƒunción Zeta pi Zeta(3) /(4 Zeta(4)) T [0;1,6,1,4,1,7,5,36,3,29,1,1,10,3,2,8,1,1,1,3,...]
1,43599112417691743235598632995927221 Constante interpolación de Lebesgue [25] [26] 1/3 + 2*sqrt(3)/Pi T A226654 [1;2,3,2,2,6,1,1,1,1,4,1,7,1,1,1,2,1,3,1,2,1,1,...]
1,04633506677050318098095065697776037 Constante mass Minkowski-Siegel [27] N[prod[n=1 to ∞]
n! /(sqrt(2*Pi*n)
*(n/e)^n *(1+1/n)
^(1/12))]
T A213080 [1;21,1,1,2,1,1,4,2,1,5,7,2,1,20,1,1,1134,3,..]
1,86002507922119030718069591571714332 Constante
espiral de
Theodorus [28]
Sum[n=1 to ∞]
{1/(n^(3/2)
+n^(1/2))}
T A226317 [1;1,6,6,1,15,11,5,1,1,1,1,5,3,3,3,2,1,1,2,19,...]
2,09455148154232659148238654057930296 Constante de Wallis (((45-sqrt(1929))
/18))^(1/3)+
(((45+sqrt(1929))
/18))^(1/3)
Raiz real
de la ecuación
x³–2x–5=0
T A007493 [2;10,1,1,2,1,3,1,1,12,3,5,1,1,2,1,6,1,11,4,...]
1,26185950714291487419905422868552171 Dimensión fractal del
Copo de nieve de Koch
log(4)/log(3) Copo de nieve de Koch.pngCopo de nieve de Koch 2.png Imagen: M.R.Schmidtke T A100831 [1;3,1,4,1,1,11,1,46,1,5,112,1,1,1,1,1,3,1,7,...]
1,22674201072035324441763023045536165 Constante Factorial de Fibonacci [29] prod[n=1 to ∞] {1-((sqrt(5) -3)/2)^n} T A062073 [1;4,2,2,3,2,15,9,1,2,1,2,15,7,6,21,3,5,1,23,...]
0,85073618820186726036779776053206660 Constante de plegado de papel [30] [31] N[Sum[n=0 to ∞]
{8^2^n/(2^2^
(n+2)-1)},37]
T A143347 [0;1,5,1,2,3,21,1,4,107,7,5,2,1,2,1,1,2,1,6,...]
- 0,5
± 0,8660254037844386467637231707529 i
Raíz cúbica de 1 [32] 1,
E^(2i pi/3) ,
E^(-2i pi/3)
C A010527 - [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, (6, 2)] i
0,86602540378443864676372317075293618 Ratio min/max en árbol de Steiner [33] sum[n=0 to ∞]
{(-1)^n (pi/6)
^(2n)/(2n)!}
T A070769 [0;1,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...]
[0; 1, (6, 2)]
2,82641999706759157554639174723695374 Constante de Murata [34] Prod[n=1 to ∞]
{1+1/(ithprime(n)
-1)^2}
T A065485 [2;1,4,1,3,5,2,2,2,4,3,2,1,3,2,1,1,1,8,2,2,28,...]
1,52362708620249210627768393595421662 Dimensión fractal de la frontera de la Curva del dragón [35] (log((1+(73-6 sqrt(87))^1/3+ (73+6 sqrt(87))^1/3)/3))/ log(2))) curva del dragón Imagen: M.R.Schmidtke T [1;1,1,10,12,2,1,149,1,1,1,3,11,1,3,17,4,1,...]

1,30637788386308069046861449260260571 1.30637 78838 63080 69046 ···

Constante de Mills [36] Nest[ NextPrime[#^3] &, 2, 7]^(1/3^8) ? A051021 [1;3,3,1,3,1,2,1,2,1,4,2,35,21,1,4,4,1,1,3,2,...]
2,02988321281930725004240510854904057 Volumen hiperbólico del Complemento del Nudo en Forma de Ocho [37]

6 integral[0 to pi/3]
{log(1/(2 sin (n)))}
whereispdf.com
/view/172697
/contents
/page_0023
T A091518 [2;33,2,6,2,1,2,2,5,1,1,7,1,1,1,113,1,4,5,1,...]
1,85193705198246617036105337015799136 Constante de Gibbs [38]
Seno
integral
de π

SinIntegral[Pi] math.univ-lyon1.fr
/~deleglis
/PDF/AN3_2.pdf
T A036792 [1;1,5,1,3,15,1,5,3,2,7,2,1,62,1,3,110,1,39,...]
1,78221397819136911177441345297254934 Constante de Grothendieck [39] pi/(2 log(1+sqrt(2))) www.math.ku.dk
/~musat/final
_project_JP.pdf
T A088367 [1;1,3,1,1,2,4,2,1,1,17,1,12,4,3,5,10,1,1,3,...]
1,74540566240734686349459630968366106 Constante media armónica de Khinchin [40]

a1 ... an son elementos de una fracción continua [a0; a1, a2, ..., an]

(log 2)/
(sum[n=1 to ∞]
{1/n log(1+
1/(n(n+2))}
T A087491 [1;1,2,1,12,1,5,1,5,13,2,13,2,1,9,1,6,1,3,1,...]
0,10841015122311136151129081140641509 Constante de Trott [41]


Trott Constant T A039662 [0;9,4,2,5,1,2,2,3,1,1,1,3,6,1,5,1,1,2,...]
1,45136923488338105028396848589202744 Constante de Ramanujan–Soldner

FindRoot[li(x) = 0] T A070769 [1;2,4,1,1,1,3,1,1,1,2,47,2,4,1,12,1,1,2,2,1,...]
0,64341054628833802618225430775756476 Constante de Cahen o
Davison-Shallit [42]

sk son términos de la Sucesión de Sylvester 2, 3, 7, 43, 1807 ...
Definida por para k>0

T A080130 [0; 1, 1, 1, 4, 9, 196, 16641, 639988804, ...]
-4,2274535333762654080895301460966835 Digamma (1/4) [43] -EulerGamma
-\pi/2 -3 log 2
T A020777 -[4;4,2,1,1,10,1,5,9,11,1,22,1,1,14,1,2,1,4,...]
1,77245385090551602729816748334114518 Constante de Carlson-Levin [44] sqrt (pi) T A002161 [1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...]
0,23571113171923293137414347535961677 Constante de Copeland–Erdös. [45] sum[n=1 to ∞]
{prime(n) /(n+(10^
sum[k=1 to n]{floor
(log_10 prime(k))}))}
? A033308 [0;4,4,8,16,18,5,1,1,1,1,7,1,1,6,2,9,58,1,3,...]
0,80939402054063913071793188059409131 Constante de Alladi-Grinstead [46] e^{(sum[k=2 to ∞]
|sum[n=1 to ∞]
{1/(n k^(n+1))})-1}
? A085291 [0;1,4,4,17,4,3,2,5,3,1,1,1,1,6,1,1,2,1,22,...]
0,28674742843447873410789271278983845 Constante Strongly Carefree [47] N[ prod[k=1 to ∞]
{1-(3*prime(k)-2)
/(prime(k)^3)}]
T A065473 [0;3,2,19,3,12,1,5,1,5,1,5,2,1,1,1,1,1,3,7,...]
1.45607494858268967139959535111654355 Constante de Backhouse

T A072508 [1;2,5,5,4,1,1,18,1,1,1,1,1,2,13,3,1,2,4,16,...]
0,64624543989481330426647339684579279 Constante de Masser-Gramain

Pi/4*(2*Gamma
+ 2*Log[2]
+ 3*Log[Pi]
- 4 Log[Gamma[1/4]])
T A086057 [0;1,1,1,4,1,3,2,3,9,1,33,1,4,3,3,5,3,1,3,4,...]
0,54325896534297670695272829530061323 Constante de Bloch-Landau [48] gamma(1/3)
*gamma(5/6)
/gamma(1/6)
T A081760 [0;1,1,5,3,1,1,2,1,1,6,3,1,8,11,2,1,1,27,4,...]
0,34053732955099914282627318443290289 Constante de Pólya Random Walk [49]

1-16*Sqrt[2/3]*Pi^3
/((Gamma[1/24]
*Gamma[5/24]
*Gamma[7/24]
*Gamma[11/24])
T A086230 [0;2,1,14,1,3,8,1,5,2,7,1,12,1,5,59,1,1,1,3,...]
0,74759792025341143517873094383017817 Constante Parking de Rényi [50] [e^(-2*Gamma)] * Int{n,0,∞}[ e^(- 2*Gamma(0,n)) /n^2] T A050996 [0;1,2,1,25,3,1,2,1,1,12,1,2,1,1,3,1,2,1,43,...]
1,46707807943397547289779848470722995 Constante de Porter [51]

6*ln2/Pi^2(3*ln2+ 4 EulerGamma- WeierstrassZeta'(2) *24/Pi^2-2)-1/2 T A086237 [1;2,7,10,1,2,38,5,4,1,4,12,5,1,5,1,2,3,1,...]
0,62432998854355087099293638310083724 Constante de Golomb–Dickman [52] N[Int{n,0,1}[e^Li(n)],34] T A084945 [0;1,1,1,1,1,22,1,2,3,1,1,11,1,1,2,22,2,6,1,...]
0,35323637185499598454351655043268201 Constante de Hafner-Sarnak-McCurley (1) [53] prod[k=1 to ∞] {1-(1-prod[j=1 to n] {1-ithprime(k)^-j})^2} T A085849 [0;2,1,4,1,10,1,8,1,4,1,2,1,2,1,2,6,1,1,1,3,...]
0,60792710185402662866327677925836583 Constante de Hafner-Sarnak-McCurley (2) [54] Prod{n=1 to ∞}
(1-1/ithprime
(n)^2)
T A059956 [0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...]
0,76422365358922066299069873125009232 Constante de Landau-Ramanujan [55] T A064533 [0;1,3,4,6,1,15,1,2,2,3,1,23,3,1,1,3,1,1,6,4,...]
0,12345678910111213141516171819202123 Constante de Champernowne [56] T A033307 [0;8,9,1,149083,1,1,1,4,1,1,1,3,4,1,1,1,15,...]
1,58496250072115618145373894394781651 Dimensión Hausdorf del triángulo de Sierpinski [57] ( Sum[n=0 to ∞] {1/
(2^(2n+1) (2n+1))})/
(Sum[n=0 to ∞] {1/
(3^(2n+1) (2n+1))})
Triángulo de Sierpinski.png
Imagen: M.R.Schmidtke
T A020857 [1;1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]
0,11000100000000000000000100... Número de Liouville [58] Sum[n=1 to ∞]
{10^(-n!)}
T A012245 [1;9,1,999,10,9999999999999,1,9,999,1,9]
0,46364760900080611621425623146121440 Serie de Machin-Gregory [59] Sum[n=0 to ∞]
{(-1)^n (1/2)^(2n+1)/(2n+1)}
T A073000 [0;2,6,2,1,1,1,6,1,2,1,1,2,10,1,2,1,2,1,1,1,...]

1,27323954473516268615107010698011489 1.27323 95447 35162 68615

Serie de Ramanujan-Forsyth [60] Sum[n=0 to ∞]
{[(2n-3)!!
/(2n)!!]^2}
Xavier Gourdon, Pascal Sebah. Collection of series for Pi T A088538 [1;3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,1,1,10,...]

15,1542622414792641897604302726299119 15.15426 22414 79264 18976 •••

Constante exponencial reiterado [61] Sum[n=0 to ∞]
{(e^n)/n!}
T A073226 [15;6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,6,7,...]

36,4621596072079117709908260226921236 36.46215 96072 07911 77099

Pi elevado a pi [62] pi^pi Renzo Sprugnoli. Introduzione alla Matematica T A073233 [36;2,6,9,2,1,2,5,1,1,6,2,1,291,1,38,50,1,2,...]

0,53964549119041318711050084748470198 0.53964 54911 90413 18711

Constante de Ioachimescu [63] γ +N[sum[n=1 to ∞] {((-1)^(2n) gamma_n)/(2^n n!)}] T 2-A059750 [0;1,1,5,1,4,6,1,1,2,6,1,1,2,1,1,1,37,3,2,1,...]

2,58498175957925321706589358738317116 2.58498 17595 79253 21706 •••

Constante de Sierpiński [64] -Pi Log[Pi]+2 Pi
EulerGamma+4
Pi Log[Gamma[3/4]]
Julian Havil. Gamma. Exploring Euler constant T A062089 [2;1,1,2,2,3,1,3,1,9,2,8,4,1,13,3,1,15,18,1,...]
1,83928675521416113255185256465328660 Constante Tribonacci (1/3)*(1+(19+3
*sqrt(33))^(1/3)
+(19-3
*sqrt(33))^(1/3))
T. Piezas. Tribonacci constant and Pi I A058265 [1;1,5,4,2,305,1,8,2,1,4,6,14,3,1,13,5,1,7,...]
0,69220062755534635386542199718278976 Valor mínimo de la función
ƒ(x) = xx [65]
= Inverso de: Número de Steiner e^(-1/e) T A072364 [0;1,2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]
0.70710678118654752440084436210484903
+ 0.70710678118654752440084436210484 i
Raíz cuadrada de i (1+i)/(sqrt 2) Eric Weisstein. The square root of i C A010503
A010503
[0;1,2,2,2,2,2,2,2,2,2,2,2,2,..] = [0;1,(2),...]
[0;1,2,2,2,2,2,2,2,2,2,2,2,2,..] i = [0;1,(2),...] i
1,15636268433226971685337032288736935 Constante de recurrencia cúbica prod[n=1 to ∞]
{n ^(1/3)^n}
J. Sondow. Generalization of Somos Quadratic ... T A123852 [1;6,2,1,1,8,13,1,3,2,2,6,2,1,2,1,1,1,10,33,...]
1,66168794963359412129581892274995074 Recurrencia cuadrática de Somos prod[n=1 to ∞]
{n ^(1/2)^n}
J. Guillera. Double integ. and infinite products ... T A065481 [1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...]
0,95531661812450927816385710251575775 Ángulo mágico [66] arctan(sqrt(2)) I A195696 [0;1,21,2,1,1,1,2,1,2,2,4,1,2,9,1,2,1,1,1,3,...]
0,59634736232319407434107849936927937 Constante de Euler-Gompertz [67] integral[0 to ∞]
{(e^-n)/(1+n)}
T A073003 [0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...]
0,69777465796400798200679059255175260 Constante de fracción continua, función de Bessel (Sum [n=0 to ∞]
{n/(n!n!)}) /
(Sum [n=0 to ∞]
{1/(n!n!)})
Simon Plouffe. Miscellaneous Mathematical Constants A052119 [0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...]
= [0;(p+1)], p∈ℕ
0,56714329040978387299996866221035555 Constante Omega, función W(1) de Lambert Sum[n=1 to ∞]
{(-n)^(n-1)/n!}
Albert Gural. Infinite Power Towers T A030178 [0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,...]
0,36651292058166432701243915823266947 Mediana distribución de Gumbel -ln(ln(2)) Steven Finch. Addenda to Mathematical Constants T A074785 [0;2,1,2,1,2,6,1,6,6,2,2,2,1,12,1,8,1,1,3,1,...]
1,70521114010536776428855145343450816 Constante de Niven 1+
Sum[n=2 to ∞]
{1-(1/Zeta(n))}
Ivan Niven. Averages of exponents in factor.int. T A033150 [1;1,2,2,1,1,4,1,1,3,4,4,8,4,1,1,2,1,1,11,1,...]
0,6903471261... Límite superior exponencial iterado [68] 2^-3^-4^-5^-6^
-7^-8^-9^-10^
-11^-12^-13 …
T [0;1,2,4,2,1,3,1,2,2,1,4,1,2,4,61,5,...]
0,6583655992... Límite inferior exponencial iterado[69] 2^-3^-4^-5^-6^
-7^-8^-9^-10^
-11^-12 …
T [0;1,1,1,12,1,2,1,1,4,3,1,1,2,1,2,1,51,2,2,1,...]
3,24697960371746706105000976800847962 Constante Silver de Tutte–Beraha 2+2 cos(2Pi/7) Eric Weisstein. Silver Constant T A116425 [3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...]
1,09864196439415648573466891734359621 Constante París  con    y   Eric Weisstein. Paris Constant I A105415 [1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...]
2,74723827493230433305746518613420282 Raíces anidadas de Ramanujan R5 [70] (2+sqrt(5)
+sqrt(15
-6 sqrt(5)))/2
I [2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...]
2,23606797749978969640917366873127624 Raíz de 5, Suma de Gauss [71] Sum[k=0 to 4]
{e^(2k^2 pi i/5)}
I A002163 [2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...]
= [2;(4),...]
3,62560990822190831193068515586767200 Gamma(1/4) [72] 4(1/4)! T A068466 [3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...]
0,18785964246206712024851793405427323 Constante MRB de Marvin Ray Burns [73][74][75] Sum[n=1 to ∞]
{(-1)^n(n^(1/n)-1)}
MRB in Octave2.png Imagen: Marvin R.Burns T A037077 [0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...]
0,11494204485329620070104015746959874 Constante de Kepler–Bouwkamp prod[n=3 to ∞]
{cos(pi/n)}
R.J.Mathar. Circumscribed Regular Polygons T A085365 [0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...]
1,78107241799019798523650410310717954 Exp.gamma por función
G-Barnes [76]

Prod[n=1 to ∞]
{e^(1/n)}
/{1 + 1/n}
T A073004 [1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...]
1,28242712910062263687534256886979172 Constante de Glaisher–Kinkelin [77] e^(1/12-zeta´{-1}) T A074962 [1;3,1,1,5,1,1,1,3,12,4,1,271,1,1,2,7,1,35,...]
7,38905609893065022723042746057500781 Constante cónica de Schwarzschild [78] Sum[n=0 to ∞]
{2^n/n!}
T A072334 [7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...]
= [7,2,(1,1,n,4*n+6,n+2)], n = 3, 6, 9, etc.
1,01494160640965362502120255427452028 Constante Gieseking

.

sqrt(3)*3/4 *(1
-Sum[n=0 to ∞]
{1/((3n+2)^2)}
+Sum[n=1 to ∞]
{1/((3n+1)^2)})
Steven Finch. Volumes of Hyperbolic 3-Manifolds T A143298 [1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...]
2,62205755429211981046483958989111941 Constante Lemniscata [79] 4 sqrt(2/pi)
((1/4)!)^2
T A062539 [2;1,1,1,1,1,4,1,2,5,1,1,1,14,9,2,6,2,9,4,1,...]
0,83462684167407318628142973279904680 Constante de Gauss [80] (4 sqrt(2)((1/4)!)^2)
/pi^(3/2)
T A014549 [0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...]
0,0078749969978123844 Constante de Chaitin [81] ? A100264 [0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1]
1,01734306198444913971451792979092052 Constante Zeta(6) [82] Prod[n=1 to ∞]
{1/(1-ithprime
(n)^-6)}
T A013664 [1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...]
1,11072073453959156175397024751517342 Razón entre un cuadrado y las círcunferencias ins.o circunscrita Sum[n=1 to ∞]
{(-1)^(floor((n-1)/2))
/(2n-1)}
Richard J.Mathar. Table of Dirichlet L-series and Prime Zeta... T A093954 [1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...]
2,80777024202851936522150118655777293 Constante Fransén–Robinson N[int[0 to ∞]
{1/Gamma(x)}]
Dusko Letic... Orthogonal... hyperspherical function T A058655 [2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...]
1,64872127070012814684865078781416357 Raíz cuadrada del número e [83] Sum[n=0 to ∞]
{1/(2^n n!)}
T A019774 [1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...]
= [1;1,(1,1,4p+1)], p∈ℕ
i Número imaginario [84] sqrt(-1) C
262537412640768743,999999999999250073 Constante de Hermite-Ramanujan [85] e^(π sqrt(163)) T A060295 [262537412640768743;1,1333462407511,1,8,1,1,5,...]
4,81047738096535165547303566670383313 Constante de John [86] e^(π/2) T A042972 [4;1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,...]
4,53236014182719380962768294571666681 Constante de Van der Pauw π/ln(2) T A163973 [4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...]
0,76159415595576488811945828260479359 Tangente hiperbólica de 1 [87] (e-1/e)/(e+1/e) T A073744 [0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...]
= [0;(2p+1)], p∈ℕ
0,36787944117144232159552377016146086 Inverso del Número e [88] Sum[n=2 to ∞]
{(-1)^n/n!}
T A068985 [0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...]
= [0;2,1,(1,2p,1)], p∈ℕ
2,71828182845904523536028747135266250 Número e, constante de Euler [89]

Sum[n=0 to ∞]
{1/n!}
T A001113 [2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...]
= [2;(1,2p,1)], p∈ℕ
0,49801566811835604271369111746219809
- 0,15494982830181068512495513048388 i
Factorial de i Gamma(1+i) Andrija Radovic
A representation of factorial function
C A212877
A212878
[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
0,43828293672703211162697516355126482
+ 0,36059247187138548595294052690600 i
Tetración infinita de i (2/Pi) i ProductLog[-((Pi/2) i)] Properties of the Lambert function W(z) C A077589
A077590
[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
0,56755516330695782538461314419245334 Módulo de la
Tetración infinita de i
Abs{(2/Pi) i ProductLog[-((Pi/2) i)]} Properties of the Lambert function W(z) A212479 [0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...]
0,26149721284764278375542683860869585 Constante de Meissel-Mertens [90] A077761 [0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,...]
1,9287800... Constante de Wright [91] A086238 [1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]
0,37395581361920228805472805434641641 Constante de Artin [92] T A005596 [0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...]
4,66920160910299067185320382046620161 Constante δ de Feigenbaum [93]

Diagrama-de-bifurcacion.png Imagen: Pastranec T A006890 [4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...]
2,50290787509589282228390287321821578 Constante α de Feigenbaum [94]
Mandelbrot2.jpg
Imagen: M.R.Schmidtke
T A006891 [2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...]
5,97798681217834912266905331933922774 Constante hexagonal Madelung 2 Pi Log[3]Sqrt[3] Borwein, Pinner. Convergence of Madelung T A086055 [5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...]
0,96894614625936938048363484584691860 Constante Beta(3) [95] Sum[n=1 to ∞]
{(-1)^(n+1)
/(-1+2n)^3}
A153071 [0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...]
1,902160583104 Constante de Brun 2 = Σ inv. primos gemelos Benjamin Fine G.Rosenberger. Number Theory A065421 [1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]
0,870588379975 Constante de Brun 4 = Σ inv. primos gemelos Pascal Sebah, Xavier Gourdon. Introduction to twin primes & Brun... A213007 [0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]
22,4591577183610454734271522045437350 pi^e [96] pi^e A059850 [22;2,5,1,1,1,1,1,3,2,1,1,3,9,15,25,1,1,5,...]
3,14159265358979323846264338327950288 Número π, constante de Arquímedes [97] Sum[n=0 to ∞]
{(-1)^n 4/(2n+1)}
T A000796 [3;7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]
0,06598803584531253707679018759684642 Límite inferior de Tetración J.Sondowa,D.Marques. Algebraic solutions exponent.equations T A073230 [0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...]
0,20787957635076190854695561983497877 i^i e^(-pi/2) T A049006 [0;4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,...]
0,28016949902386913303643649123067200 Constante de Bernstein T A073001 [0;3,1,1,3,9,6,3,1,3,13,1,16,3,3,4,…]
0,28878809508660242127889972192923078 Flajolet and Richmond prod[n=1 to ∞]
{1-1/2^n}
A048651
0,31830988618379067153776752674502872 Inverso de Pi, Ramanujan T A049541 [0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,...]
0,47494937998792065033250463632798297 Constante de Weierstrass (e^(Pi/8)
Sqrt[Pi])
/(4 2^(3/4) (1/4)!^2)
T A094692 [0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,...]
0,57721566490153286060651209008240243 Constante de Euler-Mascheroni Sum[n=1 to ∞]
Sum[k=0 to ∞]
{((-1)^k)/(2^n+k)}
Ele.jpg Imagen: Ignacitum ? A001620 [0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,...]
0,60459978807807261686469275254738524 Serie de Dirichlet Sum[n=1 to ∞]
{1/(n Binomial
[2 n, n])}
T A073010 [0;1,1,1,1,8,10,2,2,3,3,1,9,2,5,4,1,27,27,...]
0,63661977236758134307553505349005745 2/Pi, producto de François Viète [98] T A060294 [0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...]
0,66016181584686957392781211001455577 Constante de los primos gemelos prod[p=3 to ∞]
{p(p-2)/(p-1)^2
A005597 [0;1,1,1,16,2,2,2,2,1,18,2,2,11,1,1,2,4,1,...]
0,66274341934918158097474209710925290 Constante límite de Laplace A033259 [0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,...]
0,69314718055994530941723212145817657 Logaritmo natural de 2 Sum[n=1 to ∞]
{(-1)^(n+1)/n}
T A002162 [0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,...]
0,78343051071213440705926438652697546 Sophomore's Dream 1 J.Bernoulli

[99] [100]

Sum[ -(-1)^n /n^n] T A083648 [0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,2,1,14,...]
0,78539816339744830961566084581987572 Beta(1) [101] Sum[n=0 to ∞]
{(-1)^n/(2n+1)}
T A003881 [0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,...]
0,82246703342411321823620758332301259 Constante Nielsen-Ramanujan Sum[n=1 to ∞]
{((-1)^(k+1))/n^2}
/bitman.name
/math/article
/872
T A072691 [0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,...]
0,91596559417721901505460351493238411 Constante de Catalán Sum[n=0 to ∞]
{(-1)^n/(2n+1)^2}
I A006752 [0;1,10,1,8,1,88,4,1,1,7,22,1,2,...]
1,05946309435929526456182529494634170 Intervalo entre semitonos de la escala musical [102] [103]

2^(1/12) I A010774 [1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...]
1,08232323371113819151600369654116790 Constante Zeta(4) Sum[n=1 to ∞]
{1/n^4}
T A013662 [1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...]
1,1319882487943 ... Constante de Viswanath lim_(n->∞) |a_n|^(1/n) D. Viswanath. Random Fibonacci sequences... A078416 [1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...]
1,20205690315959428539973816151144999 Constante de Apéry Sum[n=1 to ∞]
{1/n^3}
I A010774 [1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,...]
1,22541670246517764512909830336289053 Gamma(3/4) (-1+3/4)! T A068465 [1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,...]
1,23370055013616982735431137498451889 Constante de Favard [104] Sum[n=1 to ∞]
{1/((2n-1)^2)}
T A111003 [1;4,3,1,1,2,2,5,1,1,1,1,2,1,2,1,10,4,3,1,1,...]
1,25992104989487316476721060727822835 Raíz cúbica de dos, constante Delian 2^(1/3) I A002580 [1;3,1,5,1,1,4,1,1,8,1,14,1,10,...]
1,29128599706266354040728259059560054 Sophomore's Dream 2 J.Bernoulli [105] Sum[n, 1, ∞]
{1/(n^n])}
A073009 [1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,...]
1,32471795724474602596090885447809734 Número plástico I A060006 [1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,...]
1,41421356237309504880168872420969808 Raíz cuadrada de 2, constante de Pitágoras[106] prod[n=1 to ∞]
{1+(-1)^(n+1)
/(2n-1)}
I A002193 [1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...]
= [1;(2),...]
1,44466786100976613365833910859643022 Número de Steiner [107] ... Límite superior de Tetración e^(1/e) Eric Weisstein, Steiner's Problem T A073229 [1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]
1,53960071783900203869106341467188655 Constante Square Ice de Lieb [108] (4/3)^(3/2) I A118273 [1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...]
1,57079632679489661923132169163975144 Producto de Wallis [109] T A019669 [1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1...]
1,60669515241529176378330152319092458 Constante de Erdős–Borwein Sum[n=1 to ∞]
{1/(2^n-1)}
I A065442 [1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,...]
1,61803398874989484820458633436563812 Fi, Número áureo [110] (1+5^(1/2))/2 I A001622 [0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...]
= [0;(1),...]
1,64493406684822643647241516664602519 Función Zeta (2) de Riemann Sum[n=1 to ∞]
{1/n^2}
T A013661 [1;1,1,1,4,2,4,7,1,4,2,3,4,10 1,2,1,1,1,15,...]
1,73205080756887729352744634150587237 Constante de Theodorus [111] (3(3(3(3(3(3(3)
^1/3)^1/3)^1/3)
^1/3)^1/3)^1/3)
^1/3 ...
I A002194 [1;1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,...]
= [1;(1,2),...]
1,75793275661800453270881963821813852 Número de Kasner A072449 [1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...]
2,29558714939263807403429804918949038 Constante universal parabólica ln(1+sqrt 2)
+sqrt 2
T A103710 [2;3,2,1,1,1,1,3,3,1,1,4,2,3,2,7,1,6,1,8,...]
2,30277563773199464655961063373524797 Número de bronce (3+sqrt 13)/2 I A098316 [3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...]
= [3;(3),...]
2,37313822083125090564344595189447424 Constante de Lévy 2 Pi^(2)/(6*ln(2)) T A174606 [2;2,1,2,8,57,9,32,1,1,2,1,2,1,2,1,2,1,3,2,...]
2,50662827463100050241576528481104525 Raíz cuadrada de 2 pi sqrt (2*pi) Fórmula de Stirling T A019727 [2;1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,...]
2,66514414269022518865029724987313985 Constante de Gelfond-Schneider 2^sqrt{2} T A007507 [2;1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,...]
2,68545200106530644530971483548179569 Constante de Khintchin Prod[n=1 to ∞]
{(1+1/(n(n+2)))
^((ln(n)/ln(2))}
Marek Wolf. Continued fractions... ? A002210 [2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]
3,27582291872181115978768188245384386 Constante de Khinchin-Lévy [112] e^(\pi^2
/(12 ln(2))
A086702 [3;3,1,1,1,2,29,1,130,1,12,3,8,2,4,1,3,55,...]
3,35988566624317755317201130291892717 Constante de Prévost, sum. inversos de Fibonacci Sum[n=1 to ∞]
{1/Fibonacci[n]}
I A079586 [3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]
4,13273135412249293846939188429985264 Raíz de 2 e pi sqrt(2e pi) T A019633 [4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...]
6,58088599101792097085154240388648649 Constante de Froda 2^e C. Zurnieden. Descriptions of the Algorithms I [6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...]
9,86960440108935861883449099987615114 Pi al Cuadrado 6*
Sum[n=1 to ∞]
{1/n^2}
T A002388 [9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,...]
23,1406926327792690057290863679485474 Constante de Gelfond Sum[n=0 to ∞]
{(pi^n)/n!}
T A039661 [23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...]


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