InvariantThreeElementSubsetCount on IntegerPartition
Invariant 3-element subsets: three fixed points, a fixed point and a 2-cycle, or a 3-cycle.
Called as CombinatorialStat(x, "InvariantThreeElementSubsetCount"). 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.
FindStat St000512
The number of invariant subsets of size 3 when acting with a permutation of given cycle type.
| Object | Value |
|---|---|
[2] | 0 |
[3] | 1 |
[4] | 0 |
[5] | 0 |
[6] | 0 |
[7] | 0 |
[8] | 0 |
[9] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000512 has the rest.