A384074 a(n) = permanent of the n X n circulant matrix with (row 1) = (1, 3, 5, 7, ..., 2n - 1).

1, 10, 198, 7384, 450400, 40340112, 4977778288, 810377196928, 168292881301248, 43412461935328000, 13617419946361149952, 5104272056570488986624, 2253180383840385394370560, 1156924438353338246938200064, 683663789883272270452243200000

Offset: 1

Author

Clark Kimberling, May 22 2025

Keywords

• nonn

Crossrefs

Cf. A005408, A193678 (determinant), A384075, A384076, A384077, A384078.

Programs

Mathematica

z = 16; v[n_] := Table[2 k + 1, {k, 0, n - 1}];
u[n_] := Table[RotateRight[#, k - 1], {k, 1, Length[#]}] &[v[n]];
Table[Simplify[Permanent[u[n]]], {n, 1, z}]