Identifier
-
Mp00179:
Integer partitions
—to skew partition⟶
Skew partitions
St001597: Skew partitions ⟶ ℤ
Values
[1] => [[1],[]] => 1
[2] => [[2],[]] => 1
[1,1] => [[1,1],[]] => 1
[3] => [[3],[]] => 1
[2,1] => [[2,1],[]] => 1
[1,1,1] => [[1,1,1],[]] => 1
[4] => [[4],[]] => 1
[3,1] => [[3,1],[]] => 1
[2,2] => [[2,2],[]] => 2
[2,1,1] => [[2,1,1],[]] => 1
[1,1,1,1] => [[1,1,1,1],[]] => 1
[5] => [[5],[]] => 1
[4,1] => [[4,1],[]] => 1
[3,2] => [[3,2],[]] => 2
[3,1,1] => [[3,1,1],[]] => 1
[2,2,1] => [[2,2,1],[]] => 2
[2,1,1,1] => [[2,1,1,1],[]] => 1
[1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[6] => [[6],[]] => 1
[5,1] => [[5,1],[]] => 1
[4,2] => [[4,2],[]] => 2
[4,1,1] => [[4,1,1],[]] => 1
[3,3] => [[3,3],[]] => 2
[3,2,1] => [[3,2,1],[]] => 2
[3,1,1,1] => [[3,1,1,1],[]] => 1
[2,2,2] => [[2,2,2],[]] => 2
[2,2,1,1] => [[2,2,1,1],[]] => 2
[2,1,1,1,1] => [[2,1,1,1,1],[]] => 1
[1,1,1,1,1,1] => [[1,1,1,1,1,1],[]] => 1
[7] => [[7],[]] => 1
[6,1] => [[6,1],[]] => 1
[5,2] => [[5,2],[]] => 2
[5,1,1] => [[5,1,1],[]] => 1
[4,3] => [[4,3],[]] => 2
[4,2,1] => [[4,2,1],[]] => 2
[4,1,1,1] => [[4,1,1,1],[]] => 1
[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],[]] => 1
[2,2,2,1] => [[2,2,2,1],[]] => 2
[2,2,1,1,1] => [[2,2,1,1,1],[]] => 2
[2,1,1,1,1,1] => [[2,1,1,1,1,1],[]] => 1
[1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1],[]] => 1
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Description
The Frobenius rank of a skew partition.
This is the minimal number of border strips in a border strip decomposition of the skew partition.
This is the minimal number of border strips in a border strip decomposition of the skew partition.
Map
to skew partition
Description
The partition regarded as a skew partition.
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