A178394 Decimal expansion of e!.

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

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

Cf. A073233, A111293, A144749.

Sequence in context: A107504 A141674 A329323 * A266391 A091664 A010317

Adjacent sequences: A178391 A178392 A178393 * A178395 A178396 A178397

Keyword

nonn,cons

Author

Vladimir Joseph Stephan Orlovsky, May 27 2010

Status

approved