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HurwitzNumber on IntegerPartition ​

Hurwitz's number for the partition: (n + c - 2)! n^(c-3) times the product of p^p / (p-1)! over its c parts p, n being its size.

On IntegerPartition

Called as CombinatorialStat(x, "HurwitzNumber"). 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 St001763

The Hurwitz number of an integer partition.

ObjectValue
[1]1
[2]1
[3]3
[4]16
[5]125
[6]1296
[7]16807
[8]262144

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001763 has the rest.