A392192 a(n) is the maximum permanent of an n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1].

1, 0, 1, 9, 194, 5370, 248892, 14510496, 1214627720, 122075319780, 16054620982400, 2466220453001965

Offset

0,4

Links

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

Eric Weisstein's World of Mathematics, Circulant Matrix.

Wikipedia, Circulant matrix.

Example

a(4) = 194:
  [3, 0, 2, 1]
  [1, 3, 0, 2]
  [2, 1, 3, 0]
  [0, 2, 1, 3]

Crossrefs

Cf. A392190 (max det), A392191 (min det), A392193 (min permanent).

Cf. A392132, A392188.

Sequence in context: A196959 A266485 A279132 * A334777 A081020 A358740

Adjacent sequences: A392189 A392190 A392191 * A392193 A392194 A392195

Keyword

nonn,hard,more

Author

Stefano Spezia, Jan 03 2026

Extensions

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

Status

approved