PartRearrangementCount on IntegerPartition
Distinct rearrangements of the parts, the compositions that sort to this partition: the number of parts factorial over the factorials of the multiplicities.
Called as CombinatorialStat(x, "PartRearrangementCount"). 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 St000278
The size of the preimage of the map 'to partition' from Integer compositions to Integer partitions.
| Object | Value |
|---|---|
[] | 1 |
[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/St000278 has the rest.