OFFSET
0,1
LINKS
Jonathan M. Borwein, Armin Straub, Log-sine evaluations of Mahler measures, arXiv:1103.3893 [math.CA], (20-March-2011)
E. D. Krupnikov, K. S. Kölbig, Some special cases of the generalized hypergeometric function (q+1)Fq, J. Comp. Appl. Math. 78 (1997) 79-95, eq. 18.
FORMULA
-integral_(0..Pi/3) t*log(2*sin(t/2))^2 dt.
-(1/2)*sum_(k=1..infinity) 1/(Binomial(2*k, k)*k^4).
-17*Pi^4/6480.
EXAMPLE
-0.255548541292907628552389761683331310377371752536366...
MATHEMATICA
RealDigits[-17*Pi^4/6480, 10, 105] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Aug 04 2014
STATUS
approved