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A263180 Decimal expansion of a constant related to A263143 (negated). 5
1, 4, 6, 1, 6, 8, 1, 3, 4, 9, 2, 0, 8, 0, 4, 0, 0, 7, 3, 6, 2, 0, 0, 6, 7, 0, 6, 5, 1, 4, 9, 9, 3, 6, 7, 9, 0, 7, 0, 8, 8, 2, 2, 1, 7, 0, 4, 8, 0, 5, 3, 7, 7, 4, 9, 4, 3, 7, 0, 4, 1, 7, 4, 8, 9, 0, 4, 3, 2, 9, 3, 6, 0, 5, 2, 4, 3, 2, 1, 4, 8, 8, 5, 0, 3, 9, 2, 9, 7, 2, 0, 3, 7, 8, 8, 0, 2, 6, 0, 6, 9, 7, 2, 5, 1, 8 (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(-2*x)/(x*(1 - exp(-5*x))^2) - 1/(25*x^3) - 3/(25*x^2) - 29/(300*x*exp(x)) dx.

A263178 + A263179 + A263180 + A263181 = (log(Gamma(1/5)^3 / ((1+sqrt(5)) * Pi * Gamma(3/5) * 5^(29/12))) - 4*Zeta'(-1))/5 = -0.2745843324986204888923185745... . - Vaclav Kotesovec, Oct 12 2015

EXAMPLE

-0.146168134920804007362006706514993679070882217048053774943704174890...

MATHEMATICA

NIntegrate[E^(-2*x)/(1-E^(-5*x))^2/x - 1/(25*x^3) - 3/(25*x^2) - 29*E^(-x)/(300*x), {x, 0, Infinity}, WorkingPrecision -> 120, MaxRecursion -> 100, PrecisionGoal -> 110]

CROSSREFS

Cf. A263143, A263178, A263179, A263181.

Sequence in context: A247621 A245275 A030169 * A239809 A203999 A330823

Adjacent sequences:  A263177 A263178 A263179 * A263181 A263182 A263183

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Oct 11 2015

STATUS

approved

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Last modified March 1 02:21 EST 2021. Contains 341732 sequences. (Running on oeis4.)