ParallelogramPolyominoUpperInnerCorners on DyckPath
The inner corners of the polyomino's upper path: its turns from east to north, not counting the first.
The upper path of FindStat's polyomino is the one that opens with an east step here, up to reflecting the polyomino in the diagonal.
Called as CombinatorialStat(x, "ParallelogramPolyominoUpperInnerCorners"). The head's page has its examples.
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FindStat St001037
The number of inner corners of the upper path of the parallelogram polyomino associated with the Dyck path.
| Object | Value |
|---|---|
[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] | 1 |
[1,1,0,0,1,0] | 0 |
[1,1,0,1,0,0] | 0 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001037 has the rest.