HookLengthSquareSum on IntegerPartition
The sum of the squares of all hook lengths.
Called as CombinatorialStat(x, "HookLengthSquareSum"). 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 St001943
The sum of the squares of the hook lengths of an integer partition.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 5 |
[3] | 14 |
[4] | 30 |
[5] | 55 |
[6] | 91 |
[7] | 140 |
[8] | 204 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001943 has the rest.