HookLengthSquareSum on IntegerPartition

The sum of the squares of all hook lengths.

On IntegerPartition

Called as CombinatorialStat(x, "HookLengthSquareSum"). The head's page has its examples.

Live

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.