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PartsEqualToMultiplicity on IntegerPartition ​

Parts equal to their own multiplicity.

On IntegerPartition

Called as CombinatorialStat(x, "PartsEqualToMultiplicity"). 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 St001939

The number of parts that are equal to their multiplicity in the integer partition.

ObjectValue
[1]1
[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/St001939 has the rest.