FirstRowMissingBoxCount on SkewPartition
The boxes of the first row that the shape leaves out: the first part of the inner partition.
FindStat's St001435. The empty shape gives 0.
Called as CombinatorialStat(x, "FirstRowMissingBoxCount"). 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 St001435
The number of missing boxes in the first row.
| Object | Value |
|---|---|
[[1],[]] | 0 |
[[2],[]] | 0 |
[[3],[]] | 0 |
[[4],[]] | 0 |
[[5],[]] | 0 |
[[1,1],[]] | 0 |
[[2,1],[]] | 0 |
[[2,2],[]] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001435 has the rest.