OFFSET
1,3
LINKS
Igor Khavkine, Is there a closed form for integral_{x>0} tanh(x)^3/x^2 dx, MathOverflow, 2017.
Jing Li and Wenchang Chu, Integrals of Hyperbolic Tangent Function, arXiv:2310.19847 [math.GM], 2023. Has similar integrals.
FORMULA
5/6 - gamma - 19*log(2)/15 + 12*log(A) - log(Pi) + 90*zeta'(4)/Pi^4, where gamma is the Euler-Mascheroni constant, and A is the Glaisher constant.
EXAMPLE
1.15478531332317626405907045194152614753523709245089248909911022029...
MATHEMATICA
RealDigits[N[5/6 - EulerGamma - 19 Log[2]/15 + 12 Log[Glaisher] - Log[Pi] + 90 Zeta'[4]/Pi^4, 101]][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Sep 01 2019
STATUS
approved