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

Distribution

Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.

Sizes 1 to

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.