A368354 - OEIS

%I #8 Dec 30 2023 23:47:40

%S 1,0,2,31,1781,58180

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

%C a(6) >= 2189560.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Hankel_matrix">Hankel matrix</a>.

%e a(2) = 2:

%e   2, 0;

%e   0, 1.

%e a(3) = 31:

%e   1, 4, 2;

%e   4, 2, 3;

%e   2, 3, 0.

%e a(4) = 1781:

%e   1, 2, 5, 6;

%e   2, 5, 6, 0;

%e   5, 6, 0, 4;

%e   6, 0, 4, 3.

%Y Cf. A368353 (minimal), A368355 (maximal absolute value).

%Y Cf. A358569 (minimal permanent), A358570 (maximal permanent).

%K nonn,hard,more

%O 0,3

%A _Stefano Spezia_, Dec 22 2023