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LeftOuterPeaks on Permutation ​

Peaks of the word 0 p(1) ... p(n): the interior peaks, plus one when p(1) > p(2).

On Permutation

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

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Distribution

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FindStat St000035

The number of left outer peaks of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000035 has the rest.