WeakPeakLeftToRightMaxima on DyckPath

Peaks at least as high as every peak to their left.

On DyckPath

Called as CombinatorialStat(x, "WeakPeakLeftToRightMaxima"). 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 St001733

The number of weak left to right maxima of a Dyck path.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001733 has the rest.