A263176 Decimal expansion of a constant related to A263136 (negated).

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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Formula

Integral_{x=0..infinity} exp(-3*x)/(x*(1 - exp(-4*x))^2) - 1/(16*x^3) - 1/(16*x^2) + 5/(96*x*exp(x)) dx.

A263176 + A263177 = log(Gamma(1/4))/2 - Zeta'(-1)/4 - 2*log(2)/3 - log(Pi)/4 = -0.062914043561495455491893116973161914641792581828767341125... . - Vaclav Kotesovec, Oct 12 2015

Example

-0.158924147180165035059952001737321408554746599955833696821824808027...

Mathematica

NIntegrate[E^(-3*x)/(1-E^(-4*x))^2/x - 1/(16*x^3) - 1/(16*x^2) + 5*E^(-x)/(96*x), {x, 0, Infinity}, WorkingPrecision -> 120, MaxRecursion -> 100, PrecisionGoal -> 110]

Crossrefs

Cf. A263136, A263177.

Sequence in context: A251687 A336266 A241992 * A378207 A197815 A257870

Adjacent sequences: A263173 A263174 A263175 * A263177 A263178 A263179

Keyword

nonn,cons

Author

Vaclav Kotesovec, Oct 11 2015

Status

approved