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MaximalLeftBranches on BinaryTree ​

The number of maximal paths of left edges.

On BinaryTree

A branch starts at a node with a left child that is not itself a left child.

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

Live

Distribution

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

FindStat St000919

The number of maximal left branches of a binary tree.

ObjectValue
[.,[.,.]]0
[[.,.],.]1
[.,[.,[.,.]]]0
[.,[[.,.],.]]1
[[.,.],[.,.]]1
[[.,[.,.]],.]1
[[[.,.],.],.]1
[.,[.,[.,[.,.]]]]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000919 has the rest.