OFFSET
0,1
LINKS
J. M. Borwein, D. J. Broadhurst, J. Kamnitzer, Central Binomial Sums, Multiple Clausen Values and Zeta Values, arXiv:hep-th/0004153, 2000.
Eric Weisstein's MathWorld, Central Binomial Coefficient
FORMULA
Equals (1/2) 8F7(1,...,1; 3/2,2,...,2; 1/4).
Also equals (4/45)*Integral_{0..Pi/3} t*log(2*sin(t/2))^6 dt.
EXAMPLE
0.5006588912976705433145571270829868383840732523404540388886438...
MATHEMATICA
S[8] = Sum[1/(n^8*Binomial[2n, n]), {n, 1, Infinity}]; RealDigits[S[8], 10, 100] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Sep 03 2015
STATUS
approved