Non-attacking Bishop and King positions on regular and cylindrical chessboards
Journal of integer sequences, Tome 20 (2017) no. 6.

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Summary: In this paper, we count the number of non-attacking bishop and king positions on the regular and cylindrical $m \times n (where m = 1, 2, 3)$ chessboards. This is accomplished through the use of scientific computing, recurrence relations, generating functions and closed-form formulas.
Keywords: non-attacking Bishop, non-attacking King, chess
@article{JIS_2017__20_6_a0,
     author = {Low, Richard M. and Kapbasov, Ardak},
     title = {Non-attacking {Bishop} and {King} positions on regular and cylindrical chessboards},
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     number = {6},
     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a0/}
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Low, Richard M.; Kapbasov, Ardak. Non-attacking Bishop and King positions on regular and cylindrical chessboards. Journal of integer sequences, Tome 20 (2017) no. 6. http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a0/