SingletonRefinementCount on IntegerPartition
The chains of single splits (a part into two) from this partition down to all ones.
Called as CombinatorialStat(x, "SingletonRefinementCount"). 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 St000913
The number of ways to refine the partition into singletons.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 2 |
[5] | 4 |
[6] | 11 |
[7] | 33 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000913 has the rest.