WeylCatalanNumber on CartanType
The Catalan number of the type, ∏ (d + h) / d over the degrees d and the Coxeter number h.
Called as CombinatorialStat(x, "WeylCatalanNumber"). 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 St000138
The Catalan number of an irreducible finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 2 |
['A',2] | 5 |
['A',3] | 14 |
['A',4] | 42 |
['A',5] | 132 |
['A',6] | 429 |
['A',7] | 1430 |
['A',8] | 4862 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000138 has the rest.