FirstBlockCardinality on SetPartition
The size of the block containing 1.
Called as CombinatorialStat(x, "FirstBlockCardinality"). 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 St000504
The cardinality of the first 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}} | 1 |
{{1,2,3,4,5}} | 5 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000504 has the rest.