Identifier
-
Mp00179:
Integer partitions
—to skew partition⟶
Skew partitions
St001658: Skew partitions ⟶ ℤ
Values
[1] => [[1],[]] => 2
[2] => [[2],[]] => 3
[1,1] => [[1,1],[]] => 3
[3] => [[3],[]] => 4
[2,1] => [[2,1],[]] => 5
[1,1,1] => [[1,1,1],[]] => 4
[4] => [[4],[]] => 5
[3,1] => [[3,1],[]] => 7
[2,2] => [[2,2],[]] => 7
[2,1,1] => [[2,1,1],[]] => 7
[1,1,1,1] => [[1,1,1,1],[]] => 5
[5] => [[5],[]] => 6
[4,1] => [[4,1],[]] => 9
[3,2] => [[3,2],[]] => 10
[3,1,1] => [[3,1,1],[]] => 10
[2,2,1] => [[2,2,1],[]] => 10
[2,1,1,1] => [[2,1,1,1],[]] => 9
[1,1,1,1,1] => [[1,1,1,1,1],[]] => 6
[6] => [[6],[]] => 7
[5,1] => [[5,1],[]] => 11
[4,2] => [[4,2],[]] => 13
[4,1,1] => [[4,1,1],[]] => 13
[3,3] => [[3,3],[]] => 13
[3,2,1] => [[3,2,1],[]] => 15
[3,1,1,1] => [[3,1,1,1],[]] => 13
[2,2,2] => [[2,2,2],[]] => 13
[2,2,1,1] => [[2,2,1,1],[]] => 13
[2,1,1,1,1] => [[2,1,1,1,1],[]] => 11
[1,1,1,1,1,1] => [[1,1,1,1,1,1],[]] => 7
[7] => [[7],[]] => 8
[6,1] => [[6,1],[]] => 13
[5,2] => [[5,2],[]] => 16
[5,1,1] => [[5,1,1],[]] => 16
[4,3] => [[4,3],[]] => 17
[4,2,1] => [[4,2,1],[]] => 20
[4,1,1,1] => [[4,1,1,1],[]] => 17
[3,3,1] => [[3,3,1],[]] => 20
[3,2,2] => [[3,2,2],[]] => 20
[3,2,1,1] => [[3,2,1,1],[]] => 20
[3,1,1,1,1] => [[3,1,1,1,1],[]] => 16
[2,2,2,1] => [[2,2,2,1],[]] => 17
[2,2,1,1,1] => [[2,2,1,1,1],[]] => 16
[2,1,1,1,1,1] => [[2,1,1,1,1,1],[]] => 13
[1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1],[]] => 8
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Description
The total number of rook placements on a Ferrers board.
Map
to skew partition
Description
The partition regarded as a skew partition.
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