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Leaves on OrderedTree ​

The number of vertices with no children.

On OrderedTree

Called as CombinatorialStat(x, "Leaves"). 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.

Also on

The same name on other carriers, each its own implementation: BinaryTree.

FindStat St000167

The number of leaves of an ordered tree.

ObjectValue
[[]]1
[[[]]]1
[[],[]]2
[[[[]]]]1
[[[],[]]]2
[[[]],[]]2
[[],[[]]]2
[[[[[]]]]]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000167 has the rest.