ConjugacyClassSize on IntegerPartition
The number of permutations of the same cycle type: n! over the product of the cycle sizes and the factorials of the multiplicities.
Called as CombinatorialStat(x, "ConjugacyClassSize"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
Also on
The same name on other carriers, each its own implementation: Permutation.
FindStat St000182
The number of permutations whose cycle type is the given integer partition.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 1 |
[3] | 2 |
[4] | 6 |
[5] | 24 |
[6] | 120 |
[7] | 720 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000182 has the rest.