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FinalRises on Permutation ​

The ascents at the end: n - 1 less the last descent position.

On Permutation

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

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Distribution

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FindStat St000989

The number of final rises of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000989 has the rest.