GiniIndex on IntegerPartition
The size plus 1 choose 2, less the sum over the columns of the column length plus 1 choose 2.
Called as CombinatorialStat(x, "GiniIndex"). 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 St001541
The Gini index of an integer partition.
| Object | Value |
|---|---|
[1] | 0 |
[2] | 1 |
[3] | 3 |
[4] | 6 |
[5] | 10 |
[6] | 15 |
[7] | 21 |
[8] | 28 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001541 has the rest.