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RightOuterPeaks on Permutation ​

Peaks of the word p(1) ... p(n) 0: the interior peaks, plus one when p(n) > p(n-1).

On Permutation

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

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Distribution

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FindStat St000834

The number of right outer peaks of a permutation.

ObjectValue
[]0
[1]0
[1,2]1
[2,1]0
[1,2,3]1
[1,3,2]1
[2,1,3]1
[2,3,1]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000834 has the rest.