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A263177
Decimal expansion of a constant related to A263137.
4
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
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
Sequence in context: A317869 A103362 A252245 * A154161 A336001 A361601
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Oct 11 2015
STATUS
approved