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A099152 Number of n X n permutation matrices in which the sums of the entries of each NorthEast-SouthWest diagonal are 0 or 1. +0
3
1, 1, 3, 7, 23, 83, 405, 2113, 12657, 82297, 596483, 4698655, 40071743 (list; graph; listen)
OFFSET

1,3

COMMENT

Numbers of solutions to a modified version of the n-queens problem, in which two queens do not attack each other if they are in the same NorthWest-SouthEst diagonal.

Number of perfect extremal Skolem-type sequences of order n.

Contribution from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 28 2008: (Start)

a(n) is also the number of permutations p of {1,2,...,n} for which the numbers p(i)-i (i=1,2,...,n) are distinct. Example: a(4)=7 because we have 4132, 3142, 2413, 4213, 2431, 3241 and 4321.

a(n) is also the number of permutations p of {1,2,...,n} for which the numbers p(i)+i (i=1,2,...,n) are distinct. Example: a(4)=7 because we have 1423, 2413, 3142, 1342, 3124, 2314 and 1234.

a(n)=A125182(n,n). (End)

LINKS

G. Nordh, Perfect Skolem sequences

CROSSREFS

A125182 [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 28 2008]

Sequence in context: A148712 A104088 A136508 this_sequence A113860 A080355 A100964

Adjacent sequences: A099149 A099150 A099151 this_sequence A099153 A099154 A099155

KEYWORD

nonn

AUTHOR

Cecilia Bebeacua and Simone Severini (ss54(AT)york.ac.uk), Nov 16 2004

EXTENSIONS

More terms from Ivica Kolar (telpro(AT)kvid.hr), Nov 23 2004

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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