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PartSquareProduct on IntegerPartition ​

The product of the squares of the parts.

On IntegerPartition

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

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Distribution

Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.

FindStat St001129

The product of the squares of the parts of a partition.

ObjectValue
[]1
[1]1
[2]4
[3]9
[4]16
[5]25
[6]36
[7]49

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001129 has the rest.