RimHooksRemovedToTwoCore on IntegerPartition
The 2-rim hooks removed to reach the 2-core: the size less the core's, over 2, the core read off the abacus.
Called as CombinatorialStat(x, "RimHooksRemovedToTwoCore"). 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 St000698
The number of 2-rim hooks removed from an integer partition to obtain its associated 2-core.
| Object | Value |
|---|---|
[2] | 1 |
[3] | 1 |
[4] | 2 |
[5] | 2 |
[6] | 3 |
[7] | 3 |
[8] | 4 |
[9] | 4 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000698 has the rest.