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A354214
Decimal expansion of Sum_{k>=1} 1/sinh(k*Pi)^4.
1
5, 6, 2, 1, 6, 4, 1, 9, 8, 0, 4, 7, 7, 1, 8, 7, 3, 2, 8, 2, 7, 5, 3, 3, 9, 9, 4, 4, 1, 4, 5, 5, 6, 6, 1, 1, 1, 0, 8, 1, 4, 7, 7, 7, 2, 8, 4, 3, 3, 8, 0, 0, 6, 4, 3, 2, 1, 0, 6, 0, 2, 0, 3, 7, 6, 2, 1, 8, 1, 8, 6, 2, 4, 6, 1, 7, 2, 3, 9, 4, 5, 9, 2, 4, 4, 4, 2, 0, 5, 0, 7, 6, 0, 5, 4, 5, 6, 1, 3, 2, 0, 6, 6, 2, 9, 6
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