cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A098072 #12 May 29 2025 10:41:51
%S A098072 0,1,17,43,82,87,88,91,100
%N 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.
%C A098072 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.
%H A098072 Hugo Pfoertner, <a href="http://www.randomwalk.de/scimath/d33list.txt">List of 3 X 3 integer matrices that give 10080 different determinants.</a>
%H A098072 Hugo Pfoertner, <a href="http://www.randomwalk.de/scimath/mxnd3.txt">Search minimal 3 X 3 matrix with 10080 different determinants.</a> FORTRAN program.
%o A098072 (Fortran) ! See Links section.
%Y A098072 Cf. A088021 maximal number of different determinants of an n X n matrix, A099834 different determinants of matrix with nonnegative entries <=n.
%Y A098072 Improved solution: A301372.
%Y A098072 Optimal solution found by exhaustive search: A316601.
%K A098072 fini,full,nonn
%O A098072 1,3
%A A098072 _Hugo Pfoertner_, Nov 19 2004