OFFSET
0,2
LINKS
David H. Bailey, Jonathan M. Borwein, David Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891, page 21.
FORMULA
s(5,3) = Integral_{0..inf} x^3*BesselI_0(x)*BesselK_0(x)^4 dx.
Equals Pi^2 (2/15)^2 (13 C - 1/(10 C)) (conjectural, where C is A273959).
EXAMPLE
0.0859372906917684524238417457876469580337873779130649806431684669637579...
MATHEMATICA
s[5, 3] = NIntegrate[x^3*BesselI[0, x]*BesselK[0, x]^4, {x, 0, Infinity}, WorkingPrecision -> 103];
Join[{0}, RealDigits[s[5, 3]][[1]]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jun 06 2016
STATUS
approved