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A178394
Decimal expansion of e!.
4
4, 2, 6, 0, 8, 2, 0, 4, 7, 6, 3, 5, 7, 0, 0, 3, 3, 8, 1, 7, 0, 0, 1, 2, 1, 2, 2, 4, 6, 4, 5, 7, 0, 2, 4, 6, 4, 9, 3, 3, 4, 2, 4, 3, 7, 3, 9, 5, 9, 3, 2, 1, 9, 7, 4, 9, 1, 1, 6, 0, 4, 8, 9, 3, 5, 9, 9, 3, 4, 4, 3, 4, 8, 7, 2, 7, 5, 0, 0, 0, 8, 5, 3, 4, 8, 8, 8, 7, 5, 3, 7, 0, 1, 5, 6, 9, 4, 7, 7, 2, 8, 9, 9, 0, 3
OFFSET
1,1
COMMENTS
Gamma(e+1).
LINKS
D. M. Bătinetu-Giurgiu, Problem 11808, The American Mathematical Monthly, Vol. 121, No. 10 (2014), p. 947; A Gamma Integral Limit, Solution to Problem 11808 by Roberto Tauraso, ibid., Vol. 123, No. 9 (2016), pp. 944-945.
FORMULA
Equals Integral_{x>=0} x^e/e^x dx. - Alois P. Heinz, Aug 27 2015
Equals lim_{n->oo} n^2 * Integral_{x=n!^(1/n)..(n+1)!^(1/(n+1))} Gamma(n*x) dx (Bătinetu-Giurgiu, 2014). - Amiram Eldar, Mar 26 2022
EXAMPLE
4.2608204763570033817001212246457024649334243739593219749116...
MATHEMATICA
RealDigits[N[E!, 200]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved