A275688 Decimal expansion of 9*zeta(3)/(Pi^2*log(2)).

1, 5, 8, 1, 4, 0, 2, 1, 6, 8, 0, 3, 1, 1, 2, 2, 9, 4, 5, 3, 4, 2, 9, 8, 7, 9, 8, 7, 4, 4, 0, 5, 8, 5, 4, 1, 9, 5, 1, 8, 5, 9, 8, 3, 8, 8, 9, 0, 3, 8, 0, 8, 4, 6, 0, 2, 9, 3, 0, 2, 4, 5, 2, 7, 5, 3, 4, 8, 1, 4, 7, 0, 1, 2, 4, 7, 7, 6, 2, 7, 9, 0, 9, 9, 6, 9, 6, 8, 2, 7, 8, 1, 1, 5, 3, 1, 0, 5, 0, 4, 9, 6, 0, 6, 7

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Formula

9*zeta(3)/(Pi^2*log(2)) = ((3*zeta(3))/4)/((Pi^2)/(12*log(2))) =

A197070/A100199 = [Sum {n>=1} (-1)^(n+1)/n^3] / [( Sum_{n>=1} (-1)^(n+1)/n^2 ) / ( Sum_{n>=1} (-1)^(n+1)/n )].

Example

9*Zeta(3)/(Pi^2*log(2)) = 1.5814021680311229....

Mathematica

RealDigits[9 Zeta[3]/(Pi^2 Log[2]), 10, 120][[1]] (* Harvey P. Dale, Jun 06 2022 *)

Prog

(PARI) 9*zeta(3)/Pi^2/log(2) \\ Charles R Greathouse IV, Aug 05 2016

Crossrefs

Cf. A002162, A100199, A197070.

Sequence in context: A154856 A198746 A021176 * A330867 A193743 A372869

Adjacent sequences: A275685 A275686 A275687 * A275689 A275690 A275691

Keyword

nonn,cons

Author

Terry D. Grant, Aug 05 2016

Extensions

Corrected and extended by Rick L. Shepherd, Nov 23 2016

Previous Mathematica program replaced by Harvey P. Dale, Jun 06 2022

Status

approved