DistinctMultiplicities on IntegerPartition
How many different multiplicities the part sizes have.
Called as CombinatorialStat(x, "DistinctMultiplicities"). 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.
Also on
The same name on other carriers, each its own implementation: IntegerComposition.
FindStat St000897
The number of different multiplicities of parts of an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000897 has the rest.