A193182 - OEIS

%I #15 May 27 2012 08:01:30

%S 5,0,3,6,8,6,6,6,4,2,3,9,1,3,8,5,1,0,8,6,5,4,3,3,9,4,9,4,5,9,3,8,4,6,

%T 2,2,0,5,0,5,1,1,4,1,9,7,9,8,5,3,6,7,6,3,2,3,7,9,1,8,2,2,3,9,4,1,3,7,

%U 5,2

%N Decimal expansion of the integral over x/(1+x^6*sinh^2 x) from x=0 to infinity.

%H Y. Hatano, I. Ninomiya, H Sugiura, T. Hasegawa, <a href="http://dx.doi.org/10.1007/s11075-009-9265-4">Numerical evaluation of Goursat's infinite integral</a>, Num. Alg. 52 (2) (2009) 213-224.

%e integral(x=0..infinity) x/(1+x^6*sinh(x)^2) dx = 0.503686....

%t RealDigits[NIntegrate[x/(1+x^6 Sinh[x]^2),{x,0,\[Infinity]}, WorkingPrecision-> 120]][[1]] (* _Harvey P. Dale_, May 27 2012 *)

%K nonn,cons,less

%O 0,1

%A _R. J. Mathar_, Aug 26 2011