RefinementCount on IntegerPartition
The partitions that refine this one, whose parts subdivide to give theirs. Itself included.
Called as CombinatorialStat(x, "RefinementCount"). 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 St000345
The number of refinements of a partition.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 2 |
[3] | 3 |
[4] | 5 |
[5] | 7 |
[6] | 11 |
[7] | 15 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000345 has the rest.