A358567 a(n) is the minimal determinant of an n X n Toeplitz matrix using the integers 0 to 2*(n - 1).

1, 0, -2, -31, -1297, -39837, -2256911, -99518694

Offset

0,3

Links

Table of n, a(n) for n=0..7.

Lucas A. Brown, Python program.

Wikipedia, Toeplitz Matrix

Example

a(2) = -2:
    [0, 1;
     2, 0]
a(3) = -31:
    [2, 3, 0;
     4, 2, 3;
     1, 4, 2]

Crossrefs

Cf. A350930 (integers from 1 to 2*n - 1), A358568 (maximal), A358569 (minimal permanent), A358570 (maximal permanent).

Sequence in context: A217766 A246970 A246969 * A134646 A368354 A197320

Adjacent sequences: A358564 A358565 A358566 * A358568 A358569 A358570

Keyword

sign,hard,more

Author

Stefano Spezia, Nov 22 2022

Extensions

a(5)-a(7) from Lucas A. Brown, Dec 03 2022

Status

approved