

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.


10




OFFSET

1,2


COMMENTS

a(5) = 1 + 2*(A085000(5)  (number of terms of A088238)).


LINKS

Table of n, a(n) for n=1..6.


EXAMPLE

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.


MATHEMATICA

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 *)


PROG

See link given in A088238.


CROSSREFS

Cf. A085000, A088214, A088215, A088216, A088238, A325900.
Sequence in context: A130688 A214009 A332176 * A242850 A020542 A045480
Adjacent sequences: A088214 A088215 A088216 * A088218 A088219 A088220


KEYWORD

nonn,more,hard


AUTHOR

Hugo Pfoertner, Sep 23 2003


EXTENSIONS

Minor edits and a(6) from Hugo Pfoertner, Sep 08 2019


STATUS

approved



