FirstBlockCardinality on SetPartition
The size of the block containing 1.
Called as CombinatorialStat(x, "FirstBlockCardinality"). The head's page has its examples.
Live
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.