A368352 a(n) is the maximal determinant of an n X n Hankel matrix using the integers 1 to 2*n - 1.

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

Offset

0,3

Links

Table of n, a(n) for n=0..7.

Lucas A. Brown, Python program.

Wikipedia, Hankel matrix.

Example

a(2) = 5:
  3, 1;
  1, 2.
a(3) = 42:
  2, 5, 3;
  5, 3, 4;
  3, 4, 1.
a(4) = 2294:
  2, 3, 6, 7;
  3, 6, 7, 1;
  6, 7, 1, 5;
  7, 1, 5, 4.

Crossrefs

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

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

Sequence in context: A216334 A374067 A350930 * A132487 A178614 A360942

Adjacent sequences: A368349 A368350 A368351 * A368353 A368354 A368355

Keyword

nonn,hard,more

Author

Stefano Spezia, Dec 22 2023

Extensions

a(6)-a(7) from Lucas A. Brown, Aug 26 2024

Status

approved