OccurrencesOf3412Or4231 on Permutation
Quadruples ordered as 3412 or as 4231.
A permutation avoids both exactly when its Schubert variety is smooth.
Called as CombinatorialStat(x, "OccurrencesOf3412Or4231"). The head's page has its examples.
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FindStat St000622
The number of occurrences of the patterns 2143 or 4231 in a permutation.
| Object | Value |
|---|---|
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 0 |
[1,3,2] | 0 |
[2,1,3] | 0 |
[2,3,1] | 0 |
[3,1,2] | 0 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000622 has the rest.