

A098072


An example of a 3 X 3 matrix with nonnegative elements that produces the maximum possible number of 10080 different determinants if all 9! permutations of the matrix elements are performed. The target is to find a matrix for which the largest element becomes as small as possible.


3




OFFSET

1,3


COMMENTS

In November 2004 this is the example with the smallest known largest element. It was found in a random search after 3 CPU (1.5 GHz Intel Itanium 2) months. No improvement was found in another 6 months of CPU time.


LINKS



PROG

FORTRAN program given at link.


CROSSREFS

Cf. A088021 maximal number of different determinants of an n X n matrix, A099834 different determinants of matrix with nonnegative entries <=n.
Optimal solution found by exhaustive search: A316601.


KEYWORD

fini,full,nonn


AUTHOR



STATUS

approved



