TransitiveMonotoneFactorizationCount on IntegerPartition
Transitive monotone factorizations of genus zero of a permutation of this cycle type, into n + length - 2 transpositions.
Called as CombinatorialStat(x, "TransitiveMonotoneFactorizationCount"). 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 St001938
The number of transitive monotone factorizations of genus zero of a permutation of given cycle type.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 1 |
[3] | 2 |
[4] | 5 |
[5] | 14 |
[6] | 42 |
[7] | 132 |
[8] | 429 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001938 has the rest.