A392187 a(n) is the minimum determinant of an n X n circulant matrix whose rows are permutations of [1, 2, ..., n].

1, 1, -3, 18, -160, 75, -41895, 196, -26978400, 0, -36843728625, 726, -89802671542272, 1183, -354379732734283200

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Eric Weisstein's World of Mathematics, Circulant Matrix.

Wikipedia, Circulant matrix.

Formula

a(n) = - A328030(n) for n even.

Example

a(4) = -160:
  [3, 2, 1, 4]
  [4, 3, 2, 1]
  [1, 4, 3, 2]
  [2, 1, 4, 3]

Crossrefs

Cf. A328030 (max det), A392188 (max permanent), A392189 (min permanent).

Cf. A309257, A392131, A392191.

Sequence in context: A352638 A385368 A238302 * A371020 A067302 A361048

Adjacent sequences: A392184 A392185 A392186 * A392188 A392189 A392190

Keyword

sign,hard,more

Author

Stefano Spezia, Jan 03 2026

Extensions

a(11)-a(14) from Hugo Pfoertner, Jan 05 2026

Status

approved