CartanParkingFunctionCount on CartanType
The parking functions of the type, the points of the torus Q / (h + 1) Q: (h + 1)^n.
Called as CombinatorialStat(x, "CartanParkingFunctionCount"). The head's page has its examples.
Live
Distribution
Over FiniteCartanTypes at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000859
The number of parking functions of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 3 |
['A',2] | 16 |
['A',3] | 125 |
['A',4] | 1296 |
['A',5] | 16807 |
['A',6] | 262144 |
['B',2] | 25 |
['B',3] | 343 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000859 has the rest.