Identifier
Values
{{1}} => [1] => [[1],[]] => 0
{{1,2}} => [2] => [[2],[]] => 0
{{1},{2}} => [1,1] => [[1,1],[]] => 0
{{1,2,3}} => [3] => [[3],[]] => 0
{{1,2},{3}} => [2,1] => [[2,1],[]] => 0
{{1,3},{2}} => [2,1] => [[2,1],[]] => 0
{{1},{2,3}} => [2,1] => [[2,1],[]] => 0
{{1},{2},{3}} => [1,1,1] => [[1,1,1],[]] => 0
{{1,2,3,4}} => [4] => [[4],[]] => 0
{{1,2,3},{4}} => [3,1] => [[3,1],[]] => 0
{{1,2,4},{3}} => [3,1] => [[3,1],[]] => 0
{{1,2},{3,4}} => [2,2] => [[2,2],[]] => 0
{{1,2},{3},{4}} => [2,1,1] => [[2,1,1],[]] => 0
{{1,3,4},{2}} => [3,1] => [[3,1],[]] => 0
{{1,3},{2,4}} => [2,2] => [[2,2],[]] => 0
{{1,3},{2},{4}} => [2,1,1] => [[2,1,1],[]] => 0
{{1,4},{2,3}} => [2,2] => [[2,2],[]] => 0
{{1},{2,3,4}} => [3,1] => [[3,1],[]] => 0
{{1},{2,3},{4}} => [2,1,1] => [[2,1,1],[]] => 0
{{1,4},{2},{3}} => [2,1,1] => [[2,1,1],[]] => 0
{{1},{2,4},{3}} => [2,1,1] => [[2,1,1],[]] => 0
{{1},{2},{3,4}} => [2,1,1] => [[2,1,1],[]] => 0
{{1},{2},{3},{4}} => [1,1,1,1] => [[1,1,1,1],[]] => 0
{{1,2,3,4,5}} => [5] => [[5],[]] => 0
{{1,2,3,4},{5}} => [4,1] => [[4,1],[]] => 0
{{1,2,3,5},{4}} => [4,1] => [[4,1],[]] => 0
{{1,2,3},{4,5}} => [3,2] => [[3,2],[]] => 0
{{1,2,3},{4},{5}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,2,4,5},{3}} => [4,1] => [[4,1],[]] => 0
{{1,2,4},{3,5}} => [3,2] => [[3,2],[]] => 0
{{1,2,4},{3},{5}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,2,5},{3,4}} => [3,2] => [[3,2],[]] => 0
{{1,2},{3,4,5}} => [3,2] => [[3,2],[]] => 0
{{1,2},{3,4},{5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,2,5},{3},{4}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,2},{3,5},{4}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,2},{3},{4,5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,2},{3},{4},{5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1,3,4,5},{2}} => [4,1] => [[4,1],[]] => 0
{{1,3,4},{2,5}} => [3,2] => [[3,2],[]] => 0
{{1,3,4},{2},{5}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,3,5},{2,4}} => [3,2] => [[3,2],[]] => 0
{{1,3},{2,4,5}} => [3,2] => [[3,2],[]] => 0
{{1,3},{2,4},{5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,3,5},{2},{4}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,3},{2,5},{4}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,3},{2},{4,5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,3},{2},{4},{5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1,4,5},{2,3}} => [3,2] => [[3,2],[]] => 0
{{1,4},{2,3,5}} => [3,2] => [[3,2],[]] => 0
{{1,4},{2,3},{5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,5},{2,3,4}} => [3,2] => [[3,2],[]] => 0
{{1},{2,3,4,5}} => [4,1] => [[4,1],[]] => 0
{{1},{2,3,4},{5}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,5},{2,3},{4}} => [2,2,1] => [[2,2,1],[]] => 0
{{1},{2,3,5},{4}} => [3,1,1] => [[3,1,1],[]] => 0
{{1},{2,3},{4,5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1},{2,3},{4},{5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1,4,5},{2},{3}} => [3,1,1] => [[3,1,1],[]] => 0
{{1,4},{2,5},{3}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,4},{2},{3,5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1,4},{2},{3},{5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1,5},{2,4},{3}} => [2,2,1] => [[2,2,1],[]] => 0
{{1},{2,4,5},{3}} => [3,1,1] => [[3,1,1],[]] => 0
{{1},{2,4},{3,5}} => [2,2,1] => [[2,2,1],[]] => 0
{{1},{2,4},{3},{5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1,5},{2},{3,4}} => [2,2,1] => [[2,2,1],[]] => 0
{{1},{2,5},{3,4}} => [2,2,1] => [[2,2,1],[]] => 0
{{1},{2},{3,4,5}} => [3,1,1] => [[3,1,1],[]] => 0
{{1},{2},{3,4},{5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1,5},{2},{3},{4}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1},{2,5},{3},{4}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1},{2},{3,5},{4}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1},{2},{3},{4,5}} => [2,1,1,1] => [[2,1,1,1],[]] => 0
{{1},{2},{3},{4},{5}} => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The number of missing boxes in the first row.
Map
shape
Description
Sends a set partition to the integer partition obtained by the sizes of the blocks.
Map
to skew partition
Description
The partition regarded as a skew partition.