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A193182 Decimal expansion of the integral over x/(1+x^6*sinh^2 x) from x=0 to infinity. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 10:26 EST 2022. Contains 358656 sequences. (Running on oeis4.)