OccurrencesOfInitial12Dash3 on Permutation
Triples 1, 2, k ordered as 123 (|12-3).
FindStat titles this |1-23, but its definition matches p(1) and p(2) as adjacent.
Called as CombinatorialStat(x, "OccurrencesOfInitial12Dash3"). The head's page has its examples.
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FindStat St001084
The number of occurrences of the vincular pattern |1-23 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/St001084 has the rest.