DysonRank on IntegerPartition
Largest part minus number of parts.
Called as CombinatorialStat(x, "DysonRank"). 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 St000145
The Dyson rank of a partition.
| Object | Value |
|---|---|
[1] | 0 |
[2] | 1 |
[3] | 2 |
[4] | 3 |
[5] | 4 |
[6] | 5 |
[7] | 6 |
[8] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000145 has the rest.