OrderedRefinementCount on IntegerPartition
The partitions whose parts cut, in order, into consecutive blocks summing to the parts of this one.
Called as CombinatorialStat(x, "OrderedRefinementCount"). 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 St000935
The number of ordered refinements of an integer 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/St000935 has the rest.