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TerminalClosers on SetPartition ​

Closers e with every larger element also a closer.

On SetPartition

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

Live

FindStat St001050

The number of terminal closers of a set partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001050 has the rest.