A175615 Decimal expansion of sinh(Pi)/(4*Pi).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

R. J. Mathar, Hardy-Littlewood constants embedded into infinite products..., arXiv:0903.2514.

Formula

Equals product_{n >= 2} (1-n^(-4)).

Equals A156648/4.

Equals exp(Sum_{j>=1} (1 - zeta(4*j))/j). - Vaclav Kotesovec, Apr 27 2020

Equals 1/(2*Gamma(2-i)*Gamma(2+i)). - Amiram Eldar, May 28 2021

Example

0.91901947759...

Maple

sinh(Pi)/4/Pi; evalf(%) ;

Mathematica

RealDigits[Sinh[Pi]/(4Pi), 10, 120][[1]] (* Harvey P. Dale, Feb 11 2023 *)

Prog

(PARI) exp(suminf(j=1, (1 - zeta(4*j))/j)) \\ Vaclav Kotesovec, Apr 27 2020

Crossrefs

Cf. A109219, A156648, A144663, A175617, A175619.

Sequence in context: A021843 A362752 A231931 * A200696 A203130 A209050

Adjacent sequences: A175612 A175613 A175614 * A175616 A175617 A175618

Keyword

cons,easy,nonn

Author

R. J. Mathar, Jul 26 2010

Status

approved