LongestAscent on DyckPath

The longest run of consecutive up steps.

On DyckPath

Called as CombinatorialStat(x, "LongestAscent"). 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.

Sizes 1 to

FindStat St000444

The length of the maximal rise of a Dyck path.

Object	Value
[1,0,1,0]	1
[1,1,0,0]	2
[1,0,1,0,1,0]	1
[1,0,1,1,0,0]	2
[1,1,0,0,1,0]	2
[1,1,0,1,0,0]	2
[1,1,1,0,0,0]	3
[1,0,1,0,1,0,1,0]	1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000444 has the rest.