cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A263179 Decimal expansion of a constant related to A263142 (negated).

This page as a plain text file.
%I A263179 #8 Jan 07 2021 07:30:37
%S A263179 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,
%T A263179 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,
%U A263179 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
%N A263179 Decimal expansion of a constant related to A263142 (negated).
%F A263179 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.
%F A263179 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
%e A263179 -0.187803021063745858976409657887070138806758984043175296048481791984...
%t A263179 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]
%Y A263179 Cf. A263142, A263178, A263180, A263181.
%K A263179 nonn,cons
%O A263179 0,2
%A A263179 _Vaclav Kotesovec_, Oct 11 2015