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DoubleRises on DyckPath ​

Occurrences of two consecutive up steps.

On DyckPath

Called as CombinatorialStat(x, "DoubleRises"). 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 St000024

The number of double up and double down steps of a Dyck path.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000024 has the rest.