SkewCornerCount on SkewPartition
The cells that are an inner corner or an outer corner of the shape, counted once when both.
FindStat's St001488, the removable cells of the skew partition: the union of its inner and outer corners. A row holding one cell can have the same cell as both. The empty shape gives 0.
Called as CombinatorialStat(x, "SkewCornerCount"). The head's page has its examples.
Live
Distribution
Over SkewPartitions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St001488
The number of corners of a skew partition.
| Object | Value |
|---|---|
[[1],[]] | 1 |
[[2],[]] | 2 |
[[3],[]] | 2 |
[[4],[]] | 2 |
[[5],[]] | 2 |
[[1,1],[]] | 2 |
[[2,1],[]] | 3 |
[[2,2],[]] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001488 has the rest.