A193182 Decimal expansion of the integral over x/(1+x^6*sinh^2 x) from x=0 to infinity.

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, 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, 5, 2

Offset

0,1

Links

Table of n, a(n) for n=0..69.

Y. Hatano, I. Ninomiya, H Sugiura, T. Hasegawa, Numerical evaluation of Goursat's infinite integral, Num. Alg. 52 (2) (2009) 213-224.

Example

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

Mathematica

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

Crossrefs

Sequence in context: A264785 A197573 A019947 * A139399 A318525 A021669

Adjacent sequences: A193179 A193180 A193181 * A193183 A193184 A193185

Keyword

nonn,cons,less

Author

R. J. Mathar, Aug 26 2011

Status

approved