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SingletonBlocks on SetPartition ​

Blocks containing exactly one element.

On SetPartition

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

Live

FindStat St000247

The number of singleton blocks of a set partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000247 has the rest.