A358485 a(n) is the maximal determinant of an n X n matrix using the integers 0 to n^2 - 1.

1, 0, 6, 332, 36000, 6313388, 1765146660, 731664377274

Offset

0,3

Comments

427402723914150 <= a(8) <= 427505414757161, 337815614862033534 <= a(9) <= 337888181610225000, 349880703121691699788 <= a(10) <= 349947469107433415221, with upper bounds from corollary 2 of Sigg (2018). - Hugo Pfoertner, Nov 21 2022

Links

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

Markus Sigg, Gasper's determinant theorem, revisited, arXiv:1804.02897 [math.CO], 9 Apr 2018.

Example

a(3) = 332:
     [5, 7, 2;
      1, 3, 8;
      6, 0, 4]

Crossrefs

Cf. A085000 (integers 1 to n^2), A358486 (minimal permanent), A358487 (maximal permanent).

Sequence in context: A324099 A135195 A273031 * A001509 A295925 A210769

Adjacent sequences: A358482 A358483 A358484 * A358486 A358487 A358488

Keyword

nonn,hard,more

Author

Stefano Spezia, Nov 18 2022

Extensions

a(4)-a(6) from Hugo Pfoertner, Nov 19 2022

a(7) from Hugo Pfoertner, Nov 21 2022

Status

approved