RemovableBoxCount on PlanePartition
The number of entries larger than both the entry to their right and the entry below.
FindStat's St001445. Taking one box off such an entry leaves a plane partition, and off any other does not.
Called as CombinatorialStat(x, "RemovableBoxCount"). The head's page has its examples.
Live
Distribution
Over PlanePartitions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St001445
The number of maximal boxes of a plane partition.
| Object | Value |
|---|---|
[[1]] | 1 |
[[2]] | 1 |
[[3]] | 1 |
[[4]] | 1 |
[[5]] | 1 |
[[6]] | 1 |
[[7]] | 1 |
[[8]] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001445 has the rest.