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BoundaryLength on OrderedTree ​

The edges on the leftmost path from the root plus those on the rightmost.

On OrderedTree

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

Live

Distribution

Over OrderedTrees at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St000973

The length of the boundary of an ordered tree.

ObjectValue
[[]]2
[[[]]]4
[[],[]]2
[[[[]]]]6
[[[],[]]]4
[[[]],[]]3
[[],[[]]]3
[[[[[]]]]]8

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000973 has the rest.