Identifier
Values
[1] => [[1],[]] => 1
[1,1] => [[1,1],[]] => 1
[2] => [[2],[]] => 1
[1,1,1] => [[1,1,1],[]] => 1
[1,2] => [[2,1],[]] => 1
[2,1] => [[2,2],[1]] => 1
[3] => [[3],[]] => 1
[1,1,1,1] => [[1,1,1,1],[]] => 1
[1,1,2] => [[2,1,1],[]] => 1
[1,2,1] => [[2,2,1],[1]] => 1
[1,3] => [[3,1],[]] => 1
[2,1,1] => [[2,2,2],[1,1]] => 1
[2,2] => [[3,2],[1]] => 1
[3,1] => [[3,3],[2]] => 1
[4] => [[4],[]] => 1
[1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[1,1,1,2] => [[2,1,1,1],[]] => 1
[1,1,2,1] => [[2,2,1,1],[1]] => 1
[1,1,3] => [[3,1,1],[]] => 1
[1,2,1,1] => [[2,2,2,1],[1,1]] => 1
[1,2,2] => [[3,2,1],[1]] => 1
[1,3,1] => [[3,3,1],[2]] => 1
[1,4] => [[4,1],[]] => 1
[2,1,1,1] => [[2,2,2,2],[1,1,1]] => 1
[2,1,2] => [[3,2,2],[1,1]] => 1
[2,2,1] => [[3,3,2],[2,1]] => 1
[2,3] => [[4,2],[1]] => 1
[3,1,1] => [[3,3,3],[2,2]] => 1
[3,2] => [[4,3],[2]] => 1
[4,1] => [[4,4],[3]] => 1
[5] => [[5],[]] => 1
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Description
The number of connected components of a skew partition.
Map
to ribbon
Description
The ribbon shape corresponding to an integer composition.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.