ThirdPositiveWeylFussCatalanNumber on CartanType
The positive Fuss-Catalan number of order 3 of the type, ∏ (d + 3h - 2) / d.
Called as CombinatorialStat(x, "ThirdPositiveWeylFussCatalanNumber"). The head's page has its examples.
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Distribution
Over FiniteCartanTypes at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St001054
The third positive Fuss-Catalan number of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 3 |
['A',2] | 15 |
['A',3] | 91 |
['A',4] | 612 |
['A',5] | 4389 |
['A',6] | 32890 |
['A',7] | 254475 |
['A',8] | 2017356 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001054 has the rest.