LargestOpener on SetPartition
The largest of the blocks' smallest elements.
Called as CombinatorialStat(x, "LargestOpener"). 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 St000839
The largest opener of a set partition.
| Object | Value |
|---|---|
{{1}} | 1 |
{{1,2}} | 1 |
{{1,2,3}} | 1 |
{{1},{2}} | 2 |
{{1,2,3,4}} | 1 |
{{1,2},{3}} | 3 |
{{1,3},{2}} | 2 |
{{1},{2,3}} | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000839 has the rest.