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A337746
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Maximum number of bishops within an n X n chessboard, where each bishop has a path to an edge.
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1
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1, 4, 8, 12, 19, 28, 37, 48, 57, 72, 87
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OFFSET
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1,2
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COMMENTS
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Given an n X n chessboard, this sequence is the maximum number of bishops that can be placed on the board, such that each bishop has a free path to the edge of the board without another bishop moving.
Bishops on even and odd squares don't interfere and can be maximized separately. When n is even, the two types are equal via symmetry and thus the maximum number of bishops will be 2 * (maximum number of one type of bishop).
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KEYWORD
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nonn,hard,more
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AUTHOR
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STATUS
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approved
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