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DistinctParts on IntegerPartition ​

How many distinct part sizes occur.

On IntegerPartition

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

Live

FindStat St000159

The number of distinct parts of the 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/St000159 has the rest.