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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
0, 1, 17, 43, 82, 87, 88, 91, 100 (list; graph; refs; listen; history; text; internal format)
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.
Improved solution: A301372.
Optimal solution found by exhaustive search: A316601.
Sequence in context: A328998 A031340 A172044 * A130467 A112885 A093191
KEYWORD
fini,full,nonn
AUTHOR
Hugo Pfoertner, Nov 19 2004
STATUS
approved

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Last modified May 21 16:52 EDT 2024. Contains 372738 sequences. (Running on oeis4.)