WeightedSize on IntegerPartition
The sum of the parts weighted by their row, counting rows from 0.
Called as CombinatorialStat(x, "WeightedSize"). 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: StandardTableau.
FindStat St000185
The weighted size of a partition.
| Object | Value |
|---|---|
[] | 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/St000185 has the rest.