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DistinctMultiplicities on IntegerPartition ​

How many different multiplicities the part sizes have.

On IntegerPartition

Called as CombinatorialStat(x, "DistinctMultiplicities"). The head's page has its examples.

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FindStat St000897

The number of different multiplicities of parts of an integer partition.

ObjectValue
[]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.