OccurrencesOfInitial1Dash23 on Permutation
Triples 1, j, j+1 ordered as 123 (|1-23).
FindStat titles this |12-3.
Called as CombinatorialStat(x, "OccurrencesOfInitial1Dash23"). The head's page has its examples.
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FindStat St001087
The number of occurrences of the vincular pattern |12-3 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/St001087 has the rest.