A134366 a(n) = (n!)^(n-1).

1, 1, 2, 36, 13824, 207360000, 193491763200000, 16390160963076096000000, 173238200573946282828103680000000, 300679807141675805997423113304381849600000000

Offset: 0

Author

Artur Jasinski, Oct 22 2007

Keywords

• nonn

Crossrefs

Cf. A000142, A001044, A000442, A134366. A134367, A134368, A134369, A134370, A134371, A134374, A134375.

Programs

Maple

a:=n->mul(n!/k, k=1..n): seq(a(n), n=0..9); # Zerinvary Lajos, Jan 22 2008
restart:with (combinat):a:=n->mul(stirling1(n,1), j=3..n): seq(a(n), n=1..10); # Zerinvary Lajos, Jan 01 2009

Mathematica

Table[(n!)^(n - 1), {n, 0, 10}]

PARI

a(n) = (n!)^(n-1); \\ Michel Marcus, Dec 23 2015

Formula

a(n) ~ exp(1/12 + n - n^2) * n^((n-1)*(2*n+1)/2) * (2*Pi)^((n-1)/2). - Vaclav Kotesovec, Oct 26 2017

Extensions

Offset corrected to 0 by Michel Marcus, Dec 23 2015