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UpStepsAfterLastDoubleRise on DyckPath ​

Up steps after the first step of the last double rise; all of them if there is none.

On DyckPath

Called as CombinatorialStat(x, "UpStepsAfterLastDoubleRise"). 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 St000678

The number of up steps after the last double rise of a Dyck path.

ObjectValue
[1,0,1,0]2
[1,1,0,0]1
[1,0,1,0,1,0]3
[1,0,1,1,0,0]1
[1,1,0,0,1,0]2
[1,1,0,1,0,0]2
[1,1,1,0,0,0]1
[1,0,1,0,1,0,1,0]4

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000678 has the rest.