SingletonsAndAntisingletons on SetPartition
Singleton blocks plus antisingletons.
Called as CombinatorialStat(x, "SingletonsAndAntisingletons"). The head's page has its examples.
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FindStat St000249
The number of singletons (St000247) plus the number of antisingletons (St000248) of a set partition.
The number of singletons (St000247) plus the number of antisingletons (St000248) of a set partition.
| Object | Value |
|---|---|
{{1,2}} | 2 |
{{1,2,3}} | 3 |
{{1},{2}} | 2 |
{{1,2,3,4}} | 4 |
{{1,2},{3}} | 2 |
{{1,3},{2}} | 2 |
{{1},{2,3}} | 2 |
{{1,2,3,4,5}} | 5 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000249 has the rest.