DoubleFallPositionSum on DyckPath
The sum of the positions where a down step is followed by a down step.
Called as CombinatorialStat(x, "DoubleFallPositionSum"). The head's page has its examples.
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Distribution
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FindStat St000978
The sum of the positions of double down-steps of a Dyck path.
| Object | Value |
|---|---|
[1,0,1,0] | 0 |
[1,1,0,0] | 3 |
[1,0,1,0,1,0] | 0 |
[1,0,1,1,0,0] | 5 |
[1,1,0,0,1,0] | 3 |
[1,1,0,1,0,0] | 5 |
[1,1,1,0,0,0] | 9 |
[1,0,1,0,1,0,1,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000978 has the rest.