LargestBlock on SetPartition
The size of the largest block.
Called as CombinatorialStat(x, "LargestBlock"). 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 St001062
The maximal size of a block of a set partition.
| Object | Value |
|---|---|
{{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}} | 2 |
{{1,2,3,4,5}} | 5 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001062 has the rest.