HookProduct on IntegerPartition
The product of all hook lengths — the denominator in the hook-length formula.
Called as CombinatorialStat(x, "HookProduct"). The head's page has its examples.
Live
FindStat St000179
The product of the hook lengths of the integer partition.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 2 |
[3] | 6 |
[4] | 24 |
[5] | 120 |
[6] | 720 |
[7] | 5040 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000179 has the rest.