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HalfLargestEvenPart on IntegerPartition ​

Half the largest even part; 0 if there is none.

On IntegerPartition

Called as CombinatorialStat(x, "HalfLargestEvenPart"). 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 St001587

Half of the largest even part of an integer partition.

ObjectValue
[1]0
[2]1
[3]0
[4]2
[5]0
[6]3
[7]0
[8]4

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001587 has the rest.