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HalfSumOfEvenParts on IntegerPartition ​

Half the sum of the even parts.

On IntegerPartition

Called as CombinatorialStat(x, "HalfSumOfEvenParts"). 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 St001252

Half the sum of the even parts of a partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001252 has the rest.