LargestStaircaseSide on IntegerPartition
The side of the largest staircase (k, k-1, ..., 1) inside the diagram.
Called as CombinatorialStat(x, "LargestStaircaseSide"). The head's page has its examples.
Live
FindStat St000783
The side length of the largest staircase partition fitting into a partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000783 has the rest.
FindStat St001432
The order dimension of the 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/St001432 has the rest.