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A137279 Number of ways of placing ceiling(n/2) nonattacking queens on an n X n Mobius chessboard. 0

%I #11 Nov 17 2015 16:27:26

%S 1,4,0,16,40,192,560,3328,11772,63840,259336,1550976,7169656,42410256,

%T 234044160,1366190592

%N Number of ways of placing ceiling(n/2) nonattacking queens on an n X n Mobius chessboard.

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

%H J. Bell and B. Stevens, <a href="http://ajc.maths.uq.edu.au/pdf/42/ajc_v42_p021.pdf">Results for the n-queens problem on the Mobius board</a>, Australasian Journal of Combinatorics, vol.42, p.21 (2008).

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

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

%K nonn,more

%O 1,2

%A Brett Stevens (brett(AT)math.carleton.ca), Mar 13 2008

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)