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PartFactorialProduct on IntegerPartition ​

The product of the factorials of the parts.

On IntegerPartition

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

FindStat St000707

The product of the factorials of the parts.

ObjectValue
[2]2
[3]6
[4]24
[5]120
[6]720
[7]5040
[8]40320
[9]362880

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000707 has the rest.