HookLengthOfFirstCell on IntegerPartition
The hook length of cell (1,1): the largest part plus the number of parts, less one.
Called as CombinatorialStat(x, "HookLengthOfFirstCell"). 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 St000459
The hook length of the base cell of a partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 2 |
[3] | 3 |
[4] | 4 |
[5] | 5 |
[6] | 6 |
[7] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000459 has the rest.