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A240241 Decimal expansion of Integral_{x=0..infinity} x!/x^x dx. 0
2, 5, 1, 7, 9, 1, 7, 6, 6, 3, 0, 2, 2, 1, 3, 8, 1, 5, 3, 6, 4, 7, 5, 3, 8, 0, 0, 1, 9, 3, 2, 1, 8, 5, 2, 5, 6, 7, 6, 2, 5, 7, 7, 8, 3, 4, 7, 6, 1, 7, 9, 7, 3, 6, 4, 7, 2, 5, 5, 6, 4, 1, 9, 4, 3, 2, 7, 0, 5, 8, 8, 2, 2, 1, 3, 9, 1, 6, 9, 1, 1, 5, 5, 7, 5, 0, 2, 3, 1, 6, 4, 3, 9, 3, 3, 9, 2, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
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
CROSSREFS
Cf. A000110.
Sequence in context: A134570 A246169 A258067 * A019510 A124576 A283556
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified February 22 10:17 EST 2024. Contains 370250 sequences. (Running on oeis4.)