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A137279 Number of ways of placing (m+1)/2 nonattacking queens on an n X n Mobius chessboard. +0
1
1, 4, 0, 16, 40, 192, 560, 3328, 11772, 63840, 259336, 1550976, 7169656, 42410256, 234044160, 1366190592 (list; graph; listen)
OFFSET

1,2

COMMENT

The chessboard is an n X n standard chessboard whose left and right edges are twisted connected.

REFERENCES

J. Bell and B. Stevens, Results for the n-queens problem on the Mobius board, to appear in the Australasian Journal of Combinatorics, 2008.

EXAMPLE

a(4)=16 because any queen attacks all but two other squares and every solution is counted twice by enumerating all such placements.

CROSSREFS

Cf. A000170, A007705, A002562, A053994, A061989, A061990.

Sequence in context: A007216 A057378 A002979 this_sequence A167350 A156457 A085618

Adjacent sequences: A137276 A137277 A137278 this_sequence A137280 A137281 A137282

KEYWORD

nonn

AUTHOR

brett stevens (brett(AT)math.carleton.ca), Mar 13 2008

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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