DurfeeSquare on IntegerPartition
The side of the Durfee square: the largest d with at least d parts of size at least d.
Called as CombinatorialStat(x, "DurfeeSquare"). 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 St000183
The side length of the Durfee square of an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000183 has the rest.