OccurrencesOf123 on Permutation
Triples i < j < k with p(i) < p(j) < p(k).
Called as CombinatorialStat(x, "OccurrencesOf123"). The head's page has its examples.
Live
FindStat St000002
The number of occurrences of the pattern 123 in a permutation.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 1 |
[1,3,2] | 0 |
[2,1,3] | 0 |
[2,3,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000002 has the rest.