A263181 Decimal expansion of a constant related to A263144.

1, 8, 6, 3, 8, 2, 6, 9, 0, 6, 2, 4, 7, 5, 2, 6, 3, 0, 3, 9, 1, 3, 6, 8, 3, 6, 4, 6, 2, 9, 9, 1, 8, 4, 8, 3, 3, 8, 4, 4, 2, 4, 0, 8, 6, 3, 4, 1, 7, 6, 4, 4, 0, 9, 1, 4, 6, 9, 2, 3, 6, 8, 6, 0, 4, 1, 9, 8, 8, 7, 2, 9, 6, 2, 8, 8, 0, 7, 2, 5, 4, 4, 2, 9, 1, 6, 5, 2, 2, 8, 7, 3, 4, 4, 0, 1, 9, 4, 3, 6, 4, 9, 4, 4, 1, 8

Offset: 0

Author

Vaclav Kotesovec, Oct 11 2015

Keywords

• nonn
• cons

Examples

			0.1863826906247526303913683646299184833844240863417644091469236860419...
		

Crossrefs

Cf. A263144, A263178, A263179, A263180.

Programs

Mathematica

NIntegrate[E^(-x)/(1-E^(-5*x))^2/x - 1/(25*x^3) - 4/(25*x^2) - 71*E^(-x)/(300*x), {x, 0, Infinity}, WorkingPrecision -> 120, MaxRecursion -> 100, PrecisionGoal -> 110]

Formula

Integral_{x=0..infinity} exp(-x)/(x*(1 - exp(-5*x))^2) - 1/(25*x^3) - 4/(25*x^2) - 71/(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