OFFSET
0,2
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
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Oct 11 2015
STATUS
approved