Skip to content

CyclesOfLengthAtLeastThree on Permutation ​

Cycles of size at least three.

On Permutation

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

Live

Distribution

Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.

FindStat St000486

The number of cycles of length at least 3 of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000486 has the rest.