BoundaryLength on OrderedTree
The edges on the leftmost path from the root plus those on the rightmost.
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.
| Object | Value |
|---|---|
[[]] | 2 |
[[[]]] | 4 |
[[],[]] | 2 |
[[[[]]]] | 6 |
[[[],[]]] | 4 |
[[[]],[]] | 3 |
[[],[[]]] | 3 |
[[[[[]]]]] | 8 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000973 has the rest.