BargraphPeakCount on IntegerComposition
Peaks of the bargraph with bars of these heights: a rise, level steps, then a fall.
Deutsch and Elizalde, A bijection between bargraphs and Dyck paths.
Called as CombinatorialStat(x, "BargraphPeakCount"). The head's page has its examples.
Live
Distribution
Over IntegerCompositions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000805
The number of peaks of the associated bargraph.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
[8] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000805 has the rest.