OFFSET
1,1
COMMENTS
Gamma(e+1).
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..1000
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
Vladimir Joseph Stephan Orlovsky, May 27 2010
STATUS
approved