InvariantTwoElementSubsetCount on IntegerPartition
Invariant 2-element subsets: a pair of fixed points or a 2-cycle.
Called as CombinatorialStat(x, "InvariantTwoElementSubsetCount"). 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 St000513
The number of invariant subsets of size 2 when acting with a permutation of given cycle type.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[2] | 1 |
[3] | 0 |
[4] | 0 |
[5] | 0 |
[6] | 0 |
[7] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000513 has the rest.