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OccurrencesOfDDU on DyckPath ​

Occurrences of two down steps followed by an up step.

On DyckPath

Called as CombinatorialStat(x, "OccurrencesOfDDU"). The head's page has its examples.

Live

Distribution

Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.

FindStat St000386

The number of factors DDU in a Dyck path.

ObjectValue
[]0
[1,0]0
[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]1
[1,1,0,1,0,0]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000386 has the rest.