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A263179 Decimal expansion of a constant related to A263142 (negated). 5
1, 8, 7, 8, 0, 3, 0, 2, 1, 0, 6, 3, 7, 4, 5, 8, 5, 8, 9, 7, 6, 4, 0, 9, 6, 5, 7, 8, 8, 7, 0, 7, 0, 1, 3, 8, 8, 0, 6, 7, 5, 8, 9, 8, 4, 0, 4, 3, 1, 7, 5, 2, 9, 6, 0, 4, 8, 4, 8, 1, 7, 9, 1, 9, 8, 4, 5, 2, 0, 7, 8, 9, 6, 1, 5, 5, 5, 6, 8, 9, 8, 5, 6, 7, 2, 8, 0, 5, 6, 2, 2, 0, 0, 6, 2, 7, 0, 3, 9, 2, 4, 6, 0, 3, 5, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
Integral_{x=0..infinity} exp(-3*x)/(x*(1 - exp(-5*x))^2) - 1/(25*x^3) - 2/(25*x^2) + 1/(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
-0.187803021063745858976409657887070138806758984043175296048481791984...
MATHEMATICA
NIntegrate[E^(-3*x)/(1-E^(-5*x))^2/x - 1/(25*x^3) - 2/(25*x^2) + E^(-x)/(300*x), {x, 0, Infinity}, WorkingPrecision -> 120, MaxRecursion -> 100, PrecisionGoal -> 110]
CROSSREFS
Sequence in context: A319462 A086911 A327854 * A180311 A289913 A103984
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Oct 11 2015
STATUS
approved

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Last modified March 3 16:16 EST 2024. Contains 370512 sequences. (Running on oeis4.)