PeakHeightSquareSum on DyckPath
The sum of the squares of the heights of the peaks.
Called as CombinatorialStat(x, "PeakHeightSquareSum"). The head's page has its examples.
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FindStat St001688
The sum of the squares of the heights of the peaks of a Dyck path.
| Object | Value |
|---|---|
[1,0] | 1 |
[1,0,1,0] | 2 |
[1,1,0,0] | 4 |
[1,0,1,0,1,0] | 3 |
[1,0,1,1,0,0] | 5 |
[1,1,0,0,1,0] | 5 |
[1,1,0,1,0,0] | 8 |
[1,1,1,0,0,0] | 9 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001688 has the rest.