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a(n) is the minimal determinant of an n X n Toeplitz matrix using the integers 0 to 2*(n - 1).
4

%I #10 Dec 03 2022 09:19:04

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

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

%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A358567%2B8.py">Python program</a>.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Toeplitz_matrix">Toeplitz Matrix</a>

%e a(2) = -2:

%e [0, 1;

%e 2, 0]

%e a(3) = -31:

%e [2, 3, 0;

%e 4, 2, 3;

%e 1, 4, 2]

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

%K sign,hard,more

%O 0,3

%A _Stefano Spezia_, Nov 22 2022

%E a(5)-a(7) from _Lucas A. Brown_, Dec 03 2022