MaximalRookPlacementCount on IntegerPartition
The ways to place as many non-attacking rooks as possible on the Ferrers board of the diagram.
Called as CombinatorialStat(x, "MaximalRookPlacementCount"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
Also on
The same name on other carriers, each its own implementation: SkewPartition.
FindStat St001659
The number of ways to place as many non-attacking rooks as possible on a Ferrers board.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 2 |
[3] | 3 |
[4] | 4 |
[5] | 5 |
[6] | 6 |
[7] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001659 has the rest.