OFFSET
2,1
LINKS
Jonathan M. Borwein, Armin Straub, Special Values of Generalized Log-sine Integrals.
FORMULA
-Integral_{0..Pi} log(2*sin(t/2))^4 dx = -19*Pi^5/240.
Also equals 4th derivative of -Pi*binomial(x, x/2) at x=0.
EXAMPLE
-24.22655837883478171663368704510531884635713927472260341881815179...
MATHEMATICA
RealDigits[-19*Pi^5/240, 10, 105] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jun 09 2015
STATUS
approved