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A136609 (1/(n!)^2) * number of ways to arrange the consecutive numbers 1...n^2 in an nXn matrix with determinant = 0. +0
2
0, 0, 76, 14392910 (list; graph; listen)
OFFSET

1,3

COMMENT

The computation of a(5) seems to be currently (Jan 2008) out of reach (compare with A088021(5)).

EXAMPLE

a(1)=0 because det((1))/=0, a(2)=0, because the only possible determinants of a matrix with elements {1,2,3,4} are +-2, +-5 and +-10.

CROSSREFS

Cf. a(3)=A088215(0), a(4)=A136608(0), A046747 [{0, 1}-matrices with determinant 0].

Sequence in context: A033521 A060716 A116255 this_sequence A116246 A128670 A033397

Adjacent sequences: A136606 A136607 A136608 this_sequence A136610 A136611 A136612

KEYWORD

hard,more,nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 21 2008

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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