OFFSET
3,1
LINKS
Jonathan M. Borwein, Armin Straub, Special Values of Generalized Log-sine Integrals.
FORMULA
-Integral_{0..Pi} log(2*sin(t/2))^6 dx = -(275/1344)*Pi^7 - (45/2)*Pi*Zeta[3]^2.
Also equals 6th derivative of -Pi*binomial(x, x/2) at x=0.
EXAMPLE
-720.128392299770528721049702233362675341627842522005885034080645385...
MATHEMATICA
RealDigits[-(275/1344)*Pi^7 - (45/2)*Pi*Zeta[3]^2 , 10, 102] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jun 09 2015
STATUS
approved