A181760 a(n) = (n!)(n!-1)(n!-2)...(n!-n+1).

1, 1, 2, 120, 255024, 22869362880, 136434451994755200, 82262786502445667337542400, 6980114960816118346901632738195814400, 109099864394915605737486658299863377337267988480000, 395935956167605557454071116707328675502625329271836386079338496000

Offset

0,3

Comments

a(n) is the number of n X n matrices such that each row of the matrix is a different permutation of {1,2,...n}.

Links

Table of n, a(n) for n=0..10.

Formula

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

Maple

a:= n-> mul(n!-k, k=0..n-1):
seq(a(n), n=0..10);  # Alois P. Heinz, Jan 17 2011

Mathematica

Table[FactorialPower[n!, n], {n, 0, 10}]

Crossrefs

Cf. A036740.

Sequence in context: A331500 A024343 A100043 * A290247 A100012 A337989

Adjacent sequences: A181757 A181758 A181759 * A181761 A181762 A181763

Keyword

nonn

Author

Geoffrey Critzer

Status

approved