OFFSET
-4,1
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 13.
FORMULA
Equals -11/90 + 1/(3*Pi) + Gamma(1/4)^8/(1920*Pi^6).
EXAMPLE
0.000056216419804771873282753399441455661110814777284338006432106020376...
MATHEMATICA
RealDigits[-11/90 + 1/(3*Pi) + Gamma[1/4]^8/(1920*Pi^6), 10, 120][[1]]
PROG
(PARI) suminf(k=1, 1/sinh(k*Pi)^4)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, May 19 2022
STATUS
approved