Identifier
Values
[1] => [[1],[]] => 1
[2] => [[2],[]] => 2
[1,1] => [[1,1],[]] => 2
[3] => [[3],[]] => 3
[2,1] => [[2,1],[]] => 1
[1,1,1] => [[1,1,1],[]] => 3
[4] => [[4],[]] => 4
[3,1] => [[3,1],[]] => 2
[2,2] => [[2,2],[]] => 2
[2,1,1] => [[2,1,1],[]] => 2
[1,1,1,1] => [[1,1,1,1],[]] => 4
[5] => [[5],[]] => 5
[4,1] => [[4,1],[]] => 3
[3,2] => [[3,2],[]] => 4
[3,1,1] => [[3,1,1],[]] => 4
[2,2,1] => [[2,2,1],[]] => 4
[2,1,1,1] => [[2,1,1,1],[]] => 3
[1,1,1,1,1] => [[1,1,1,1,1],[]] => 5
[6] => [[6],[]] => 6
[5,1] => [[5,1],[]] => 4
[4,2] => [[4,2],[]] => 6
[4,1,1] => [[4,1,1],[]] => 6
[3,3] => [[3,3],[]] => 6
[3,2,1] => [[3,2,1],[]] => 1
[3,1,1,1] => [[3,1,1,1],[]] => 6
[2,2,2] => [[2,2,2],[]] => 6
[2,2,1,1] => [[2,2,1,1],[]] => 6
[2,1,1,1,1] => [[2,1,1,1,1],[]] => 4
[1,1,1,1,1,1] => [[1,1,1,1,1,1],[]] => 6
[7] => [[7],[]] => 7
[6,1] => [[6,1],[]] => 5
[5,2] => [[5,2],[]] => 8
[5,1,1] => [[5,1,1],[]] => 8
[4,3] => [[4,3],[]] => 9
[4,2,1] => [[4,2,1],[]] => 2
[4,1,1,1] => [[4,1,1,1],[]] => 9
[3,3,1] => [[3,3,1],[]] => 2
[3,2,2] => [[3,2,2],[]] => 2
[3,2,1,1] => [[3,2,1,1],[]] => 2
[3,1,1,1,1] => [[3,1,1,1,1],[]] => 8
[2,2,2,1] => [[2,2,2,1],[]] => 9
[2,2,1,1,1] => [[2,2,1,1,1],[]] => 8
[2,1,1,1,1,1] => [[2,1,1,1,1,1],[]] => 5
[1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1],[]] => 7
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Description
The number of ways to place as many non-attacking rooks as possible on a skew Ferrers board.
Map
to skew partition
Description
The partition regarded as a skew partition.