InteractionDifference on DyckPath

The pyramid weight less the upper interactions: lower interactions less upper interactions.

On DyckPath

Called as CombinatorialStat(x, "InteractionDifference"). 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 St000335

The difference of lower and upper interactions.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000335 has the rest.