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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 Table of n, a(n) for n=1..99. MathOverflow, Integral identity involving Bell numbers 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 Adjacent sequences: A240238 A240239 A240240 * A240242 A240243 A240244 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Apr 03 2014 STATUS approved

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