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MultiplicityFactorialProduct on IntegerPartition ​

The product of the factorials of the multiplicities of the parts.

On IntegerPartition

Called as CombinatorialStat(x, "MultiplicityFactorialProduct"). 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 St000706

The product of the factorials of the multiplicities of an integer partition.

ObjectValue
[2]1
[3]1
[4]1
[5]1
[6]1
[7]1
[8]1
[9]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000706 has the rest.