ParallelogramPolyominoArea on DyckPath
The cells of the parallelogram polyomino the path corresponds to under the Delest-Viennot bijection.
Called as CombinatorialStat(x, "ParallelogramPolyominoArea"). The head's page has its examples.
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FindStat St001034
The area of the parallelogram polyomino associated with the Dyck path.
| Object | Value |
|---|---|
[] | 0 |
[1,0] | 1 |
[1,0,1,0] | 2 |
[1,1,0,0] | 2 |
[1,0,1,0,1,0] | 3 |
[1,0,1,1,0,0] | 3 |
[1,1,0,0,1,0] | 3 |
[1,1,0,1,0,0] | 3 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001034 has the rest.