ShareshianWachsAdmissibleInversions on Permutation
Pairs i < j with p(i) > p(j) and either p(j) < p(j+1) or some entry between them smaller than p(j).
Called as CombinatorialStat(x, "ShareshianWachsAdmissibleInversions"). The head's page has its examples.
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FindStat St000866
The number of admissible inversions of a permutation in the sense of Shareshian-Wachs.
| Object | Value |
|---|---|
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 0 |
[1,3,2] | 0 |
[2,1,3] | 1 |
[2,3,1] | 0 |
[3,1,2] | 2 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000866 has the rest.