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

0,3

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

Table of n, a(n) for n=0..15.

Mathematics Stack Exchange, Maximum determinant of Latin squares, (2014), (2016).

Wikipedia, Circulant matrix.

Formula

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

a(n) <= A328031(n).

Crossrefs

Cf. A309985, A328029, A328031.

Sequence in context: A212599 A052182 A309985 * A301371 A115415 A364432

Adjacent sequences: A328027 A328028 A328029 * A328031 A328032 A328033

Keyword

nonn,more,hard

Author

Hugo Pfoertner, Oct 02 2019

Extensions

a(15) from Hugo Pfoertner, Oct 14 2019

Status

approved