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DistinctOddPartsBelowLargestEvenPart on IntegerPartition ​

Distinct odd part sizes smaller than the largest even part.

On IntegerPartition

Called as CombinatorialStat(x, "DistinctOddPartsBelowLargestEvenPart"). 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 St001588

The number of distinct odd parts smaller than the largest even part in 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/St001588 has the rest.