A368351 a(n) is the minimal determinant of an n X n Hankel matrix using the integers 1 to 2*n - 1.

1, 1, -7, -105, -1810, -48098, -3051554, -175457984

Offset

0,3

Links

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

Lucas A. Brown, Python program.

Wikipedia, Hankel matrix.

Example

a(2) = -7:
  2, 3;
  3, 1.
a(3) = -105:
  2, 4, 5;
  4, 5, 1;
  5, 1, 3.
a(4) = -1810:
  4, 3, 7, 1;
  3, 7, 1, 2;
  7, 1, 2, 5;
  1, 2, 5, 6.

Crossrefs

Cf. A350931 (maximal absolute value), A368352 (maximal).

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

Sequence in context: A139742 A120049 A067420 * A358957 A131869 A132867

Adjacent sequences: A368348 A368349 A368350 * A368352 A368353 A368354

Keyword

sign,hard,more

Author

Stefano Spezia, Dec 22 2023

Extensions

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

Status

approved