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PartRange on IntegerPartition ​

The largest part minus the smallest.

On IntegerPartition

Called as CombinatorialStat(x, "PartRange"). 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 St000225

Difference between largest and smallest parts in a partition.

ObjectValue
[1]0
[2]0
[3]0
[4]0
[5]0
[6]0
[7]0
[8]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000225 has the rest.