Voozh

A392338

a(n) is the minimum absolute value of determinant of a nonsingular n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1].

1, 9, 48, 50, 2205, 147, 1120, 324, 5175, 605, 6336, 1014

OFFSET

2,2

COMMENTS

The sequence has offset 2 since the only matrix of order 1 is [0] which is singular.

LINKS

Eric Weisstein's World of Mathematics, Circulant Matrix.

FORMULA

Conjecture: a(n) = A084367((n-1)/2) for n odd.

EXAMPLE

a(4) = 48:

[3, 0, 2, 1]

[1, 3, 0, 2]

[2, 1, 3, 0]

[0, 2, 1, 3]

CROSSREFS

Cf. A084367, A309257 (permutations of [1, 2, 3, ..., n]), A348891.

Cf. A392190 (max det), A392191 (min det), A392192 (max permanent), A392193 (min permanent).

KEYWORD

nonn,hard,more

AUTHOR

EXTENSIONS

a(10)-a(12) from Hugo Pfoertner, Jan 09 2026

a(13) from Hugo Pfoertner, Jan 12 2026

STATUS

approved

URL: https://oeis.org/A392338