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A103315
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Number of minimum dominating sets for the n X n knight graph.
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9
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1, 1, 8, 9, 47, 127, 10, 2, 2, 4, 800, 2, 152, 4, 504, 2, 212, 19562
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refs;
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OFFSET
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1,3
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COMMENTS
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In other words, as made explicit in the old name: Sequence A006075 gives minimum number of knights needed to cover an n X n board (i.e., the domination number of the n X n knight graph). This sequence (A103315) gives total number of solutions using A006075(n) knights (compare A006076).
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LINKS
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Table of n, a(n) for n=1..18.
Lee Morgenstern, Knight Domination.
Frank Rubin, Knight coverings for large chessboards, 2000.
Eric Weisstein's World of Mathematics, Knight Graph
Eric Weisstein's World of Mathematics, Minimum Dominating Set
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CROSSREFS
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Cf. A006075 (domination number of the n X n knight graph).
Cf. A006076 (inequivalent number of minimum dominating sets).
Cf. A098604.
Sequence in context: A048068 A037957 A165239 * A175931 A270013 A341526
Adjacent sequences: A103312 A103313 A103314 * A103316 A103317 A103318
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane, Mar 20 2005, following a suggestion from Lee Morgenstern.
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EXTENSIONS
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New name from Eric W. Weisstein, Sep 06 2021
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STATUS
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approved
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