OFFSET
0,2
REFERENCES
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1 (Overseas Publishers Association, Amsterdam, 1986), p. 722, section 5.3.5, formula 14.
FORMULA
Equals 1/(3*Pi) - Gamma(1/4)^4/(24*Pi^3) + Gamma(1/4)^8/(192*Pi^6).
EXAMPLE
0.035654072921285116477706132593989232850325625966390596638158946092549...
MATHEMATICA
Join[{0}, RealDigits[1/(3*Pi) - Gamma[1/4]^4/(24*Pi^3) + Gamma[1/4]^8/(192*Pi^6), 10, 120][[1]]]
PROG
(PARI) suminf(k=1, 1/sinh((k - 1/2)*Pi)^4)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, May 19 2022
STATUS
approved