Low, Richard M.; Kapbasov, Ardak

Non-attacking Bishop and King positions on regular and cylindrical chessboards

J. Integer Seq. 20(6), Article 17.6.1, 26 p. (2017)

Summary

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/Phrases

non-attacking Bishop, non-attacking King, chess

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