Skip to content

NonRootBinaryNodes on BinaryTree ​

The number of nodes other than the root with two children.

On BinaryTree

The nodes of degree 3 in the tree's drawing: two children and a parent.

Called as CombinatorialStat(x, "NonRootBinaryNodes"). 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 St000252

The number of nodes of degree 3 of a binary tree.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000252 has the rest.