SecondWeylFussCatalanNumber on CartanType
The Fuss-Catalan number of order 2 of the type, ∏ (d + 2h) / d.
Called as CombinatorialStat(x, "SecondWeylFussCatalanNumber"). 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 St000852
The second Fuss-Catalan number of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 3 |
['A',2] | 12 |
['A',3] | 55 |
['A',4] | 273 |
['A',5] | 1428 |
['A',6] | 7752 |
['A',7] | 43263 |
['A',8] | 246675 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000852 has the rest.