OFFSET
1,1
LINKS
Jonathan M. Borwein, Armin Straub, Special Values of Generalized Log-sine Integrals.
FORMULA
-Integral_{0..Pi} log(2*sin(t/2))^3 dx = (3/2)*Pi*zeta(3).
Also equals 3rd derivative of -Pi*binomial(x, x/2) at x=0.
EXAMPLE
5.6645597042446183908052136898788142322518455591949799463744298643...
MATHEMATICA
RealDigits[(3/2)*Pi*Zeta[3], 10, 105] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jun 09 2015
STATUS
approved