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Search: id:A088217
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| A088217 |
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Number of different values that can be assumed by the determinant of an n X n matrix whose elements are all permutations of the numbers 1..n^2. |
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+0
9
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OFFSET
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1,2
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COMMENT
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a(5) = 1 + 2*( A085000(5) - (number of terms of A088238) )
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EXAMPLE
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a(2)=6 because the determinants of the 24 2 X 2 matrices whose elements are all permutations of 1,2,3,4 can only assume the values -10,-5,-2,2,5,10.
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MATHEMATICA
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f[n_] := (p = Permutations[ Table[i, {i, n^2}]]; Length[ Union[ Table[ Det[ Partition[ p[[i]], n]], {i, 1, (n^2)!}]]]) (from Robert G. Wilson v)
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PROGRAM
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See link given in A088238.
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CROSSREFS
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Cf. A085000, A088214, A088215, A088216.
Cf. A088238.
Sequence in context: A080369 A036981 A130688 this_sequence A020542 A045480 A006114
Adjacent sequences: A088214 A088215 A088216 this_sequence A088218 A088219 A088220
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KEYWORD
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more,nonn,hard
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 23 2003
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