AlmostPositiveRootCount on CartanType
The number of almost positive roots: the positive roots and the negatives of the simple roots.
Called as CombinatorialStat(x, "AlmostPositiveRootCount"). 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 St000853
The number of almost positive roots of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 2 |
['A',2] | 5 |
['A',3] | 9 |
['A',4] | 14 |
['A',5] | 20 |
['A',6] | 27 |
['A',7] | 35 |
['A',8] | 44 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000853 has the rest.