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PartsNotCongruentToZeroModuloThree on IntegerPartition ​

Parts that are not divisible by 3.

On IntegerPartition

Called as CombinatorialStat(x, "PartsNotCongruentToZeroModuloThree"). 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 St001250

The number of parts of a partition that are not congruent 0 modulo 3.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001250 has the rest.