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BlocksAtLeastTwo on SetPartition ​

Blocks containing at least two elements.

On SetPartition

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

Live

FindStat St000251

The number of nonsingleton blocks of a set partition.

ObjectValue
{{1,2}}1
{{1,2,3}}1
{{1},{2}}0
{{1,2,3,4}}1
{{1,2},{3}}1
{{1,3},{2}}1
{{1},{2,3}}1
{{1,2,3,4,5}}1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000251 has the rest.