FlooredHalfMultiplicitySum on IntegerPartition

The sum, over part sizes, of half the multiplicity rounded down.

On IntegerPartition

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

Live

FindStat St000150

The floored half-sum of the multiplicities of a partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000150 has the rest.