A368352 - OEIS

%I #19 Aug 26 2024 11:43:08

%S 1,1,5,42,2294,71753,2737409,114381074

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

%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A368351%2B2.py">Python program</a>.

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

%e a(2) = 5:

%e   3, 1;

%e   1, 2.

%e a(3) = 42:

%e   2, 5, 3;

%e   5, 3, 4;

%e   3, 4, 1.

%e a(4) = 2294:

%e   2, 3, 6, 7;

%e   3, 6, 7, 1;

%e   6, 7, 1, 5;

%e   7, 1, 5, 4.

%Y Cf. A350931 (maximal absolute value), A368351 (minimal).

%Y Cf. A350937 (minimal permanent), A350938 (maximal permanent).

%K nonn,hard,more

%O 0,3

%A _Stefano Spezia_, Dec 22 2023

%E a(6)-a(7) from _Lucas A. Brown_, Aug 26 2024