LastUpStepPosition on DyckPath
The position of the last up step.
Called as CombinatorialStat(x, "LastUpStepPosition"). 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 St000438
The position of the last up step in a Dyck path.
| Object | Value |
|---|---|
[1,0,1,0] | 3 |
[1,1,0,0] | 2 |
[1,0,1,0,1,0] | 5 |
[1,0,1,1,0,0] | 4 |
[1,1,0,0,1,0] | 5 |
[1,1,0,1,0,0] | 4 |
[1,1,1,0,0,0] | 3 |
[1,0,1,0,1,0,1,0] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000438 has the rest.