SmallestLeafLabel on Permutation

The smallest label of a leaf of the increasing binary tree of p: the least peak, an end counting as a peak.

On Permutation

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

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Distribution

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Sizes 1 to

FindStat St000725

The smallest label of a leaf of the increasing binary tree associated to a permutation.

Object	Value
[1]	1
[1,2]	2
[2,1]	2
[1,2,3]	3
[1,3,2]	3
[2,1,3]	2
[2,3,1]	3
[3,1,2]	2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000725 has the rest.