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EvenDescents on Permutation ​

Descents i with i even.

On Permutation

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

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Distribution

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FindStat St001115

The number of even descents of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001115 has the rest.