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Aft on IntegerPartition ​

The size minus the larger of the largest part and the number of parts.

On IntegerPartition

Called as CombinatorialStat(x, "Aft"). 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 St001214

The aft of an integer partition.

ObjectValue
[]0
[1]0
[2]0
[3]0
[4]0
[5]0
[6]0
[7]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001214 has the rest.