PeakHeightProduct on DyckPath

The product of the heights of the peaks.

On DyckPath

Called as CombinatorialStat(x, "PeakHeightProduct"). 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 St001959

The product of the heights of the peaks 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]	4
[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/St001959 has the rest.