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

Author

Terry D. Grant, Aug 05 2016

Keywords

• nonn
• cons

Examples

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

Crossrefs

Cf. A002162, A100199, A197070.

Programs

Mathematica

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

PARI

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

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 )].

Extensions

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

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