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CoarseningCount on IntegerPartition ​

The partitions that coarsen this one, whose parts subdivide to give its. Itself included.

On IntegerPartition

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

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Distribution

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

FindStat St000346

The number of coarsenings of a partition.

ObjectValue
[]1
[1]1
[2]1
[3]1
[4]1
[5]1
[6]1
[7]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000346 has the rest.