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DescentsOfTypeTwo on Permutation ​

Descents i with p(i) larger than everything before it.

On Permutation

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

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Distribution

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FindStat St001737

The number of descents of type 2 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001737 has the rest.