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

1,2

Links

Table of n, a(n) for n=1..4.

Formula

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

Crossrefs

Right diagonal of A364203.

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

Cf. A364227 (with prime numbers).

Cf. A088020, A136609, A221976.

Sequence in context: A159422 A028371 A013774 * A364227 A088020 A289746

Adjacent sequences: A364203 A364204 A364205 * A364207 A364208 A364209

Keyword

nonn,hard,more

Author

Stefano Spezia, Jul 13 2023

Extensions

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

Status

approved