Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%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