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
Examples
0.91901947759...
Links
- R. J. Mathar, Hardy-Littlewood constants embedded into infinite products..., arXiv:0903.2514.
Programs
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Maple
sinh(Pi)/4/Pi; evalf(%) ;
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Mathematica
RealDigits[Sinh[Pi]/(4Pi),10,120][[1]] (* Harvey P. Dale, Feb 11 2023 *)
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PARI
exp(suminf(j=1, (1 - zeta(4*j))/j)) \\ Vaclav Kotesovec, Apr 27 2020
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