A364206 a(n) is the number of n X n nonsingular matrices using all the integers from 1 to n^2.

1, 24, 360144, 20914499571840

Offset: 1

Author

Stefano Spezia, Jul 13 2023

Keywords

• nonn
• hard
• more

Crossrefs

Right diagonal of A364203.

Cf. A085000 (maximal determinant), A350565 (minimal permanent), A350566 (maximal permanent).

Cf. A364227 (with prime numbers).

Cf. A088020, A136609, A221976.

Formula

a(n) = (n^2)! - A221976(n). - Vaclav Kotesovec, Jul 16 2023

Extensions

a(4) from Vaclav Kotesovec, Jul 16 2023 (using A221976)