cp's OEIS Frontend

A309799 Number of distinct nonnegative values that can be assumed by the determinant of an n X n matrix whose entries are a permutation of the multiset {1^n,..,n^n}.

%I A309799 #29 Sep 23 2019 16:34:16
%S A309799 1,2,13,147,2162,40498,948618
%N A309799 Number of distinct nonnegative values that can be assumed by the determinant of an n X n matrix whose entries are a permutation of the multiset {1^n,..,n^n}.
%C A309799 a(8) >= 27091220. - _Hugo Pfoertner_, Sep 23 2019
%e A309799 a(2) = 2: 0 = det[1,1; 2,2], 3 = det[2,1; 1,2] are the two possible nonnegative values of the determinant.
%e A309799 a(3) = 13, because
%e A309799    0 = det[1,2,3; 1,2,3; 1,2,3],  1 = det[2,2,1; 3,2,1; 3,3,1],
%e A309799    2 = det[3,2,3; 1,2,3; 1,1,2],  3 = det[3,3,3; 1,2,2; 1,1,2],
%e A309799    4 = det[1,3,3; 2,2,1; 1,3,2],  5 = det[2,2,1; 1,3,3; 1,2,3],
%e A309799    6 = det[1,3,2; 1,2,3; 2,1,3],  7 = det[1,3,1; 1,2,3; 2,2,3],
%e A309799    8 = det[1,1,2; 3,3,2; 1,3,2], 12 = det[2,3,1; 2,1,3; 3,1,2],
%e A309799   13 = det[3,3,1; 1,3,2; 2,1,2], 15 = det[2,1,3; 3,1,1; 2,3,2],
%e A309799   18 = det[2,3,1; 1,2,3; 3,1,2]
%e A309799 are the 13 possible nonnegative values of the determinant.
%Y A309799 Cf. A088216, A088217, A301371, A309258, A322576, A327281.
%K A309799 nonn,more,hard
%O A309799 1,2
%A A309799 _Hugo Pfoertner_, Aug 29 2019