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SameLengthSubpartitionCount on IntegerPartition ​

The partitions with as many parts contained in this one.

On IntegerPartition

Called as CombinatorialStat(x, "SameLengthSubpartitionCount"). 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 St001389

The number of partitions of the same length below the given integer partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001389 has the rest.