A328030 Maximum determinant of a circulant n X n matrix whose rows are permutations of [1,2,..,n].

1, 1, 3, 18, 160, 2325, 41895, 961772, 26978400, 929587995, 36843728625, 1705290814194, 89802671542272, 5336424046419557, 354379732734283200, 26173529641406219400

Offset: 0

Author

Hugo Pfoertner, Oct 02 2019

Keywords

• nonn
• more
• hard

Comments

It is conjectured that A309985 is identical to this sequence. See Mathematics Stack Exchange link. The first rows of the corresponding circulant matrices are provided in A328029.

Links

• Mathematics Stack Exchange, Maximum determinant of Latin squares, (2014), (2016).
• Wikipedia, Circulant matrix.

Crossrefs

Cf. A309985, A328029, A328031.

Formula

a(n) = A309985(n) for n <= 9.

a(n) <= A328031(n).

Extensions

a(15) from Hugo Pfoertner, Oct 14 2019