SameBlockPairs on SetPartition
Pairs of elements in one block.
Called as CombinatorialStat(x, "SameBlockPairs"). The head's page has its examples.
Live
FindStat St000558
The number of occurrences of the pattern {{1,2}} in a set partition.
| Object | Value |
|---|---|
{{1,2}} | 1 |
{{1,2,3}} | 3 |
{{1},{2}} | 0 |
{{1,2,3,4}} | 6 |
{{1,2},{3}} | 1 |
{{1,3},{2}} | 1 |
{{1},{2,3}} | 1 |
{{1,2,3,4,5}} | 10 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000558 has the rest.