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PartCount on IntegerPartition ​

The number of parts.

On IntegerPartition

Called as CombinatorialStat(x, "PartCount"). 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.

Also on

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

FindStat St000010

The length of the 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/St000010 has the rest.