AmbientCubeSize on PlanePartition
The side of the smallest cube that holds the array: the most of its rows, its columns and its largest entry.
FindStat's St001920.
Called as CombinatorialStat(x, "AmbientCubeSize"). 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 St001920
The minimal size of an ambient cube that contains the plane partition.
| Object | Value |
|---|---|
[[1]] | 1 |
[[2]] | 2 |
[[3]] | 3 |
[[4]] | 4 |
[[5]] | 5 |
[[6]] | 6 |
[[7]] | 7 |
[[8]] | 8 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001920 has the rest.