OccurrencesOf321Or3412 on Permutation
Triples ordered as 321, plus quadruples ordered as 3412.
A permutation avoids both exactly when it is boolean: its Bruhat interval below is a boolean lattice.
Called as CombinatorialStat(x, "OccurrencesOf321Or3412"). The head's page has its examples.
Live
Distribution
Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.
FindStat St001411
The number of patterns 321 or 3412 in a permutation.
| Object | Value |
|---|---|
[1] | 0 |
[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 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001411 has the rest.