A358486 a(n) is the minimal permanent of an n X n matrix using the integers 0 to n^2 - 1.

1, 0, 2, 128, 18948, 40179728, 2863042492

Offset

0,3

Comments

a(7) <= 2376296408682 from the matrix

[ 0, 1, 2, 3, 4, 5, 6;

7, 13, 19, 23, 29, 34, 37;

8, 14, 20, 25, 31, 36, 41;

9, 15, 21, 27, 33, 39, 43;

10, 16, 22, 28, 35, 42, 45;

11, 17, 24, 30, 38, 44, 47;

12, 18, 26, 32, 40, 46, 48]. - Pontus von Brömssen, Sep 03 2025

Links

Table of n, a(n) for n=0..6.

Example

a(3) = 128:
     [0, 1, 2;
      4, 6, 8;
      3, 5, 7]

Crossrefs

Cf. A350565 (integers 1 to n^2), A358487 (maximal).

Sequence in context: A024344 A012673 A382359 * A086190 A024345 A012524

Adjacent sequences: A358483 A358484 A358485 * A358487 A358488 A358489

Keyword

nonn,hard,more

Author

Stefano Spezia, Nov 18 2022

Extensions

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

Status

approved