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DistinctParts on IntegerComposition ​

How many distinct part sizes occur.

On IntegerComposition

Called as CombinatorialStat(x, "DistinctParts"). 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, PlanePartition.

FindStat St000903

The number of different 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/St000903 has the rest.