OFFSET
1,1
LINKS
FORMULA
Equals Integral_{x = 0..oo} 1/(x - log(x))^2 dx. - Fabián Pereyra, May 10 2023
EXAMPLE
2.517917663022138153647538001932185256762577834761797364725564194327... [corrected by Georg Fischer, Jul 29 2021]
MAPLE
evalf(Int(x!/x^x, x = 0..infinity), 100); # Vaclav Kotesovec, Jul 29 2021
MATHEMATICA
NIntegrate[x!/x^x, {x, 0, Infinity}, WorkingPrecision -> 105] // RealDigits[#, 10, 100]& // First
PROG
(PARI) default(realprecision, 200); intnum(x=0, oo, 1/(x - log(x))^2) \\ Vaclav Kotesovec, Jul 20 2024
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Apr 03 2014
STATUS
approved