Skip to content

ParallelogramPolyominoNormalizedArea on DyckPath ​

The area of the parallelogram polyomino less the semilength: the cells beyond the smallest polyomino.

On DyckPath

Called as CombinatorialStat(x, "ParallelogramPolyominoNormalizedArea"). 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 St001033

The normalized area of the parallelogram polyomino associated with the Dyck path.

ObjectValue
[]0
[1,0]0
[1,0,1,0]0
[1,1,0,0]0
[1,0,1,0,1,0]0
[1,0,1,1,0,0]0
[1,1,0,0,1,0]0
[1,1,0,1,0,0]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001033 has the rest.