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ParallelogramPolyominoMinimalColumnHeight on DyckPath ​

The height of the shortest column of the parallelogram polyomino.

On DyckPath

Called as CombinatorialStat(x, "ParallelogramPolyominoMinimalColumnHeight"). 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 St001038

The minimal height of a column in the parallelogram polyomino associated with the Dyck path.

ObjectValue
[1,0,1,0]2
[1,1,0,0]1
[1,0,1,0,1,0]3
[1,0,1,1,0,0]1
[1,1,0,0,1,0]1
[1,1,0,1,0,0]1
[1,1,1,0,0,0]2
[1,0,1,0,1,0,1,0]4

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001038 has the rest.