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DistinctMultiplicities on IntegerComposition ​

How many different multiplicities the part sizes have.

On IntegerComposition

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

Live

Distribution

Over IntegerCompositions at each size, tallied here in your browser; sizes past 6 are not offered.

Also on

The same name on other carriers, each its own implementation: IntegerPartition.

FindStat St000905

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

ObjectValue
[1]1
[2]1
[3]1
[4]1
[5]1
[6]1
[7]1
[8]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000905 has the rest.