CyclesOfLengthAtMostTwo on Permutation

Cycles of size one or two.

On Permutation

Called as CombinatorialStat(x, "CyclesOfLengthAtMostTwo"). 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.

Sizes 1 to

FindStat St000488

The number of cycles of a permutation of length at most 2.

Object	Value
[1,2]	2
[2,1]	1
[1,2,3]	3
[1,3,2]	2
[2,1,3]	2
[2,3,1]	0
[3,1,2]	0
[3,2,1]	2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000488 has the rest.