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SmallestCloser on SetPartition ​

The smallest of the blocks' largest elements.

On SetPartition

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

Live

Distribution

Over SetPartitions at each size, tallied here in your browser; sizes past 10 are not offered.

FindStat St000971

The smallest closer of a set partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000971 has the rest.