The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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)) 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
-0.126995867138823252945270574731135805611834188578689467298972164319...
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
Sequence in context: A136701 A175030 A335027 * A198230 A263495 A282079
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Oct 11 2015
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)