SymmetricDiagonalHooks on IntegerPartition

Cells on the main diagonal whose arm and leg are equal.

On IntegerPartition

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

Live

FindStat St001525

The number of symmetric hooks on the diagonal of a partition.

Object	Value
`[1]`	`1`
`[2]`	`0`
`[3]`	`0`
`[4]`	`0`
`[5]`	`0`
`[6]`	`0`
`[7]`	`0`
`[8]`	`0`

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001525 has the rest.