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A321534
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a(n) gives the number of configurations of non-attacking rooks up to symmetry on an n X n chessboard such that the number of distinct directions between the rooks is given by A321531(n).
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0
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OFFSET
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1,5
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COMMENTS
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Conjecture: a(n) = A321532(n)/8 for n >= 4.
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LINKS
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EXAMPLE
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For n = 5, the a(5) = 2 essentially different configurations of nonattacking rooks with the maximal number of directions between them are given by the following two chessboards:
+---+---+---+---+---+
5| X | | | | |
+---+---+---+---+---+
4| | | X | | |
+---+---+---+---+---+
3| | | | X | |
+---+---+---+---+---+
2| | | | | X |
+---+---+---+---+---+
1| | X | | | |
+---+---+---+---+---+
A B C D E
+---+---+---+---+---+
5| X | | | | |
+---+---+---+---+---+
4| | | | X | |
+---+---+---+---+---+
3| | | X | | |
+---+---+---+---+---+
2| | | | | X |
+---+---+---+---+---+
1| | X | | | |
+---+---+---+---+---+
A B C D E
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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