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LeftSubtreeSize on BinaryTree ​

The number of nodes in the left subtree of the root.

On BinaryTree

Called as CombinatorialStat(x, "LeftSubtreeSize"). 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 St000051

The size of the left subtree of a binary tree.

ObjectValue
[.,.]0
[.,[.,.]]0
[[.,.],.]1
[.,[.,[.,.]]]0
[.,[[.,.],.]]0
[[.,.],[.,.]]1
[[.,[.,.]],.]2
[[[.,.],.],.]2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000051 has the rest.