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.

A088217 Number of distinct values that can be assumed by the determinant of an n X n matrix whose entries are all permutations of the numbers 1..n^2.

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%I A088217 #15 Dec 23 2024 13:44:32
%S A088217 1,6,777,79455,13602389,3722956267
%N A088217 Number of distinct values that can be assumed by the determinant of an n X n matrix whose entries are all permutations of the numbers 1..n^2.
%C A088217 a(5) = 1 + 2*(A085000(5) - (number of terms of A088238)).
%e A088217 a(2)=6 because the determinants of the 24 2 X 2 matrices whose entries are all permutations of 1,2,3,4 can only assume the values -10,-5,-2,2,5,10.
%t A088217 f[n_] := (p = Permutations[ Table[i, {i, n^2}]]; Length[ Union[ Table[ Det[ Partition[ p[[i]], n]], {i, 1, (n^2)!}]]]) (* _Robert G. Wilson v_ *)
%o A088217 (Fortran) C See link given in A088238.
%Y A088217 Cf. A085000, A088214, A088215, A088216, A088238, A325900.
%K A088217 nonn,more,hard
%O A088217 1,2
%A A088217 _Hugo Pfoertner_, Sep 23 2003
%E A088217 Minor edits and a(6) from _Hugo Pfoertner_, Sep 08 2019