SumOfOddParts on IntegerPartition
The sum of the odd parts.
Called as CombinatorialStat(x, "SumOfOddParts"). 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 St001249
Sum of the odd parts of a partition.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 0 |
[3] | 3 |
[4] | 0 |
[5] | 5 |
[6] | 0 |
[7] | 7 |
[8] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001249 has the rest.