OddParts on IntegerPartition
Parts that are odd.
Called as CombinatorialStat(x, "OddParts"). 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.
Also on
The same name on other carriers, each its own implementation: PlanePartition.
FindStat St000148
The number of odd parts of a partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 0 |
[3] | 1 |
[4] | 0 |
[5] | 1 |
[6] | 0 |
[7] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000148 has the rest.