A362187 a(n) = (n^2 - n)!.

1, 1, 2, 720, 479001600, 2432902008176640000, 265252859812191058636308480000000, 1405006117752879898543142606244511569936384000000000, 710998587804863451854045647463724949736497978881168458687447040000000000000

Offset

0,3

Comments

The next term has 104 digits.

For n > 0, a(n) is the number of n X n matrices using all the integers from 1 to n^2 and having the main diagonal given.

Links

Winston de Greef, Table of n, a(n) for n = 0..21

Formula

a(n) = (n^2 - n)*a(n-1) for n > 1.

a(n) = A000142(A002378(n-1)) for n > 0.

Mathematica

a[n_]:=(n^2-n)!; Array[a, 9, 0]

Crossrefs

Cf. A000142, A000290, A002378, A088020.

Cf. A039622, A179268, A272094, A272095, A272164.

Cf. A362209.

Sequence in context: A159564 A185667 A119781 * A028367 A000197 A036298

Adjacent sequences: A362184 A362185 A362186 * A362188 A362189 A362190

Keyword

nonn,easy

Author

Stefano Spezia, Apr 10 2023

Status

approved