A358570 a(n) is the maximal permanent of an n X n Toeplitz matrix using the integers 0 to 2*(n - 1).

1, 0, 4, 121, 6109, 494610, 58369622

Offset

0,3

Comments

Also maximal permanent of an n X n Hankel matrix using the integers 0 to 2*(n - 1). - Stefano Spezia, Dec 22 2023

Links

Table of n, a(n) for n=0..6.

Lucas A. Brown, Sage program.

Wikipedia, Toeplitz Matrix

Example

a(2) = 4:
    [2, 0;
     1, 2]
a(3) = 121:
    [4, 2, 1;
     3, 4, 2;
     0, 3, 4]

Crossrefs

Cf. A350938 (integers from 1 to 2*n - 1), A358567 (minimal determinant), A358568 (maximal determinant), A358569 (minimal).

Sequence in context: A227525 A071129 A241366 * A263612 A033934 A362848

Adjacent sequences: A358567 A358568 A358569 * A358571 A358572 A358573

Keyword

nonn,hard,more

Author

Stefano Spezia, Nov 22 2022

Extensions

a(5)-a(6) from Lucas A. Brown, Dec 03 2022

Status

approved