BargraphUpStepCount on IntegerComposition
Up steps of the bargraph.
Deutsch and Elizalde, A bijection between bargraphs and Dyck paths.
Called as CombinatorialStat(x, "BargraphUpStepCount"). 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 St000808
The number of up steps of the associated bargraph.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 2 |
[3] | 3 |
[4] | 4 |
[5] | 5 |
[6] | 6 |
[7] | 7 |
[8] | 8 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000808 has the rest.