A392189 a(n) is the minimum permanent of an n X n circulant matrix whose rows are permutations of [1, 2, ..., n].

1, 1, 5, 54, 1060, 33075, 1509468, 94606456, 7798208776, 817389953433, 106236170581477, 16767912191730722

Offset

0,3

Links

Table of n, a(n) for n=0..11.

Eric Weisstein's World of Mathematics, Circulant Matrix.

Wikipedia, Circulant matrix.

Example

a(4) = 1060:
  [4, 1, 2, 3]
  [3, 4, 1, 2]
  [2, 3, 4, 1]
  [1, 2, 3, 4]

Crossrefs

Cf. A328030 (max det), A392187 (min det), A392188 (max permanent).

Cf. A392132, A392193.

Sequence in context: A376095 A223896 A245765 * A085719 A392188 A384594

Adjacent sequences: A392186 A392187 A392188 * A392190 A392191 A392192

Keyword

nonn,hard,more

Author

Stefano Spezia, Jan 03 2026

Extensions

a(10)-a(11) from Hugo Pfoertner, Jan 06 2026

Status

approved