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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 (list; constant; graph; refs; listen; history; text; internal format)
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)).

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: A103362 A252245 A291909 * A154161 A130590 A197413

Adjacent sequences:  A263174 A263175 A263176 * A263178 A263179 A263180

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Oct 11 2015

STATUS

approved

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Last modified October 14 00:10 EDT 2019. Contains 327990 sequences. (Running on oeis4.)