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A263178 Decimal expansion of a constant related to A263141 (negated). 5
1, 2, 6, 9, 9, 5, 8, 6, 7, 1, 3, 8, 8, 2, 3, 2, 5, 2, 9, 4, 5, 2, 7, 0, 5, 7, 4, 7, 3, 1, 1, 3, 5, 8, 0, 5, 6, 1, 1, 8, 3, 4, 1, 8, 8, 5, 7, 8, 6, 8, 9, 4, 6, 7, 2, 9, 8, 9, 7, 2, 1, 6, 4, 3, 1, 9, 1, 9, 2, 1, 1, 7, 7, 2, 3, 8, 2, 4, 0, 8, 2, 5, 8, 8, 8, 2, 7, 4, 3, 4, 7, 8, 8, 4, 3, 7, 0, 7, 5, 3, 9, 7, 1, 5, 8, 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(-4*x)/(x*(1 - exp(-5*x))^2) - 1/(25*x^3) - 1/(25*x^2) + 19/(300*x*exp(x)).

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

-0.126995867138823252945270574731135805611834188578689467298972164319...

MATHEMATICA

NIntegrate[E^(-4*x)/(1-E^(-5*x))^2/x - 1/(25*x^3) - 1/(25*x^2) + 19*E^(-x)/(300*x), {x, 0, Infinity}, WorkingPrecision -> 120, MaxRecursion -> 100, PrecisionGoal -> 110]

CROSSREFS

Cf. A263141, A263177, A263179, A263180, A263181.

Sequence in context: A246828 A136701 A175030 * A198230 A263495 A282079

Adjacent sequences:  A263175 A263176 A263177 * A263179 A263180 A263181

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Oct 11 2015

STATUS

approved

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Last modified June 25 03:23 EDT 2019. Contains 324338 sequences. (Running on oeis4.)