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Excedances on Permutation ​

Positions with p(i) > i.

On Permutation

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

Live

FindStat St000155

The number of exceedances (also excedences) of 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]2
[3,1,2]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000155 has the rest.