DominatedPartitionCount on IntegerPartition
The partitions of the same size that this one dominates (partial sums of the parts at least those of the other), itself included.
Called as CombinatorialStat(x, "DominatedPartitionCount"). 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 St000321
The number of integer partitions of n that are dominated by 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/St000321 has the rest.