PeakLeftToRightMaxima on DyckPath
Peaks higher than every peak to their left.
Called as CombinatorialStat(x, "PeakLeftToRightMaxima"). 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 St001732
The number of peaks visible from the left.
| Object | Value |
|---|---|
[1,0] | 1 |
[1,0,1,0] | 1 |
[1,1,0,0] | 1 |
[1,0,1,0,1,0] | 1 |
[1,0,1,1,0,0] | 2 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 1 |
[1,1,1,0,0,0] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001732 has the rest.