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

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

Offset: 0

Author

Stefano Spezia, Apr 10 2023

Keywords

• nonn
• easy

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

Crossrefs

Cf. A000142, A000290, A002378, A088020.

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

Cf. A362209.

Programs

Mathematica

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

Formula

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

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