Geodesic
Non-attacking Bishop and King positions on regular and cylindrical chessboards
Journal of integer sequences, Tome 20 (2017) no. 6
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},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {6},
     zbl = {1417.05009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a0/}
}
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%A Kapbasov,  Ardak
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%J Journal of integer sequences
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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/