A368355 a(n) is the maximal absolute value of the determinant of an n X n Hankel matrix using the integers 0 to 2*(n - 1).

1, 0, 4, 74, 1781, 58180

Offset: 0

Author

Stefano Spezia, Dec 22 2023

Keywords

• nonn
• hard
• more

Comments

a(6) >= 2579770.

Examples

			a(2) = 4:
  1, 2;
  2, 0.
a(3) = 74:
  1, 3, 4;
  3, 4, 0;
  4, 0, 2.
a(4) = 1781:
  1, 2, 5, 6;
  2, 5, 6, 0;
  5, 6, 0, 4;
  6, 0, 4, 3.
		

Links

• Wikipedia, Hankel matrix.

Crossrefs

Cf. A368353 (minimal signed), A368354 (maximal signed).

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

Formula

a(n) = max(-A368353(n), A368354(n)).