OFFSET
2,1
LINKS
David H. Bailey, Jonathan M. Borwein, David Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891.
FORMULA
c(4,0) = (Pi^4/4) Sum_{n>=0} binomial(2n, n)^4/2^(8n).
Equals (Pi^4/4) 4F3(1/2, 1/2, 1/2, 1/2; 1, 1, 1; 1), where 4F3 is the generalized hypergeometric function.
EXAMPLE
27.2413384178059734067099802645579350239978880986182746551229...
MATHEMATICA
c[4, 0] = (Pi^4/4)*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {1, 1, 1}, 1];
RealDigits[c[4, 0], 10, 102][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jun 01 2016
STATUS
approved