BoxesBelowAtLeastTwoPeaks on DyckPath
The boxes between the path and the diagonal that lie right of and below at least two peaks.
Called as CombinatorialStat(x, "BoxesBelowAtLeastTwoPeaks"). The head's page has its examples.
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Distribution
Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St000980
The number of boxes weakly below the path and above the diagonal that lie below at least two peaks.
| Object | Value |
|---|---|
[1,0,1,0] | 0 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 0 |
[1,0,1,1,0,0] | 0 |
[1,1,0,0,1,0] | 0 |
[1,1,0,1,0,0] | 0 |
[1,1,1,0,0,0] | 0 |
[1,0,1,0,1,0,1,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000980 has the rest.