ThirdWeylFussCatalanNumber on CartanType
The Fuss-Catalan number of order 3 of the type, ∏ (d + 3h) / d.
Called as CombinatorialStat(x, "ThirdWeylFussCatalanNumber"). The head's page has its examples.
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Distribution
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FindStat St000851
The third Fuss-Catalan number of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 4 |
['A',2] | 22 |
['A',3] | 140 |
['A',4] | 969 |
['A',5] | 7084 |
['A',6] | 53820 |
['A',7] | 420732 |
['A',8] | 3362260 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000851 has the rest.