SecondPositiveWeylFussCatalanNumber on CartanType
The positive Fuss-Catalan number of order 2 of the type, ∏ (d + 2h - 2) / d.
Called as CombinatorialStat(x, "SecondPositiveWeylFussCatalanNumber"). 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 St001053
The second positive Fuss-Catalan number of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 2 |
['A',2] | 7 |
['A',3] | 30 |
['A',4] | 143 |
['A',5] | 728 |
['A',6] | 3876 |
['A',7] | 21318 |
['A',8] | 120175 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001053 has the rest.