InnerCornerCount on SkewPartition
The cells that can be added to the inner partition, within the rows of the shape.
FindStat's St001487, the outside corners of the inner partition; a reduced shape has no row past the last of the outer partition. The empty shape gives 0.
Called as CombinatorialStat(x, "InnerCornerCount"). 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 St001487
The number of inner corners of a skew partition.
| Object | Value |
|---|---|
[[1],[]] | 1 |
[[2],[]] | 1 |
[[3],[]] | 1 |
[[4],[]] | 1 |
[[5],[]] | 1 |
[[1,1],[]] | 1 |
[[2,1],[]] | 1 |
[[2,2],[]] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001487 has the rest.