A263177 Decimal expansion of a constant related to A263137.

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

Offset

0,2

Links

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

Formula

Integral_{x=0..infinity} exp(-x)/(x*(1 - exp(-4*x))^2) - 1/(16*x^3) - 3/(16*x^2) - 19/(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

0.0960101036186695795680588847641594939129540181270663556962564550198...

Mathematica

NIntegrate[E^(-x)/(1-E^(-4*x))^2/x - 1/(16*x^3) - 3/(16*x^2) - 19*E^(-x)/(96*x), {x, 0, Infinity}, WorkingPrecision -> 120, MaxRecursion -> 100, PrecisionGoal -> 110]

Crossrefs

Cf. A263137, A263176.

Sequence in context: A317869 A103362 A252245 * A154161 A336001 A361601

Adjacent sequences: A263174 A263175 A263176 * A263178 A263179 A263180

Keyword

nonn,cons

Author

Vaclav Kotesovec, Oct 11 2015

Status

approved