RimHooksRemovedToThreeCore on IntegerPartition
The 3-rim hooks removed to reach the 3-core.
Called as CombinatorialStat(x, "RimHooksRemovedToThreeCore"). 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 St000697
The number of 3-rim hooks removed from an integer partition to obtain its associated 3-core.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[2] | 0 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 2 |
[7] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000697 has the rest.