RookPlacementCount on IntegerPartition
The rook placements, of any number of rooks, on the Ferrers board of the diagram.
Called as CombinatorialStat(x, "RookPlacementCount"). 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 St000532
The total number of rook placements on a Ferrers board.
| Object | Value |
|---|---|
[] | 1 |
[1] | 2 |
[2] | 3 |
[3] | 4 |
[4] | 5 |
[5] | 6 |
[6] | 7 |
[7] | 8 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000532 has the rest.