SumOfHookLengths on IntegerPartition
The total of all hook lengths.
Hook of cell (i, j) is arm + leg + 1 = (λ_i - j) + (λ'_j - i) + 1.
Called as CombinatorialStat(x, "SumOfHookLengths"). The head's page has its examples.
Live
FindStat St000869
The sum of the hook lengths of an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 3 |
[3] | 6 |
[4] | 10 |
[5] | 15 |
[6] | 21 |
[7] | 28 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000869 has the rest.