WeaklyAboveDyckPathCount on DyckPath
The Dyck paths of the same semilength weakly above this path, itself included.
Called as CombinatorialStat(x, "WeaklyAboveDyckPathCount"). The head's page has its examples.
Live
Distribution
Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St000420
The number of Dyck paths that are weakly above a Dyck path.
| Object | Value |
|---|---|
[1,0,1,0] | 2 |
[1,1,0,0] | 1 |
[1,0,1,0,1,0] | 5 |
[1,0,1,1,0,0] | 3 |
[1,1,0,0,1,0] | 3 |
[1,1,0,1,0,0] | 2 |
[1,1,1,0,0,0] | 1 |
[1,0,1,0,1,0,1,0] | 14 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000420 has the rest.