A392188 a(n) is the maximum permanent of an n X n circulant matrix whose rows are permutations of [1, 2, ..., n].

1, 1, 5, 54, 1090, 33615, 1550076, 95989180, 7973023112, 828563312835, 108437962790400, 16996695656119410

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) = 1090:
  [4, 1, 3, 2]
  [2, 4, 1, 3]
  [3, 2, 4, 1]
  [1, 3, 2, 4]

Crossrefs

Cf. A328030 (max det), A392187 (min det), A392189 (min permanent).

Cf. A392132, A392192.

Sequence in context: A245765 A392189 A085719 * A384594 A129420 A247711

Adjacent sequences: A392185 A392186 A392187 * A392189 A392190 A392191

Keyword

nonn,hard,more

Author

Stefano Spezia, Jan 03 2026

Extensions

a(10)-a(11) from Hugo Pfoertner, Jan 05 2026

Status

approved