CellsOutsideLargestStaircase on IntegerPartition
Cells of the diagram outside the largest staircase it contains.
Called as CombinatorialStat(x, "CellsOutsideLargestStaircase"). The head's page has its examples.
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Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St001384
The number of boxes in the diagram of a partition that do not lie in the largest triangle it contains.
| Object | Value |
|---|---|
[1] | 0 |
[2] | 1 |
[3] | 2 |
[4] | 3 |
[5] | 4 |
[6] | 5 |
[7] | 6 |
[8] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001384 has the rest.