AddableCells on IntegerPartition

Cells that can be added to the diagram and leave a partition: one more than the distinct parts.

On IntegerPartition

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

Live

FindStat St000318

The number of addable cells of the Ferrers diagram of an integer partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000318 has the rest.