AscentsOfDistanceTwo on Permutation
Positions i with p(i) < p(i+2).
Called as CombinatorialStat(x, "AscentsOfDistanceTwo"). The head's page has its examples.
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FindStat St000837
The number of ascents of distance 2 of a permutation.
| Object | Value |
|---|---|
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 1 |
[1,3,2] | 1 |
[2,1,3] | 1 |
[2,3,1] | 0 |
[3,1,2] | 0 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000837 has the rest.