ParallelogramPolyominoMaximalColumnHeight on DyckPath

The height of the tallest column of the parallelogram polyomino.

On DyckPath

Called as CombinatorialStat(x, "ParallelogramPolyominoMaximalColumnHeight"). The head's page has its examples.

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Distribution

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Sizes 1 to

FindStat St001039

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

Object	Value
[1,0,1,0]	2
[1,1,0,0]	1
[1,0,1,0,1,0]	3
[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]	2
[1,0,1,0,1,0,1,0]	4

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001039 has the rest.