A392193 a(n) is the minimum permanent of an n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1].

1, 0, 1, 9, 164, 4930, 222468, 13846245, 1133788866, 118120672980, 15268514307713, 2398373104558453

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) = 164:
  [3, 0, 1, 2]
  [2, 3, 0, 1]
  [1, 2, 3, 0]
  [0, 1, 2, 3]

Crossrefs

Cf. A392190 (max det), A392191 (min det), A392192 (max permanent).

Cf. A392132, A392189.

Sequence in context: A354900 A354892 A377329 * A086759 A053130 A219074

Adjacent sequences: A392190 A392191 A392192 * A392194 A392195 A392196

Keyword

nonn,hard,more

Author

Stefano Spezia, Jan 03 2026

Extensions

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

Status

approved