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OccurrencesOf231 on Permutation ​

Triples i < j < k with p(k) < p(i) < p(j).

On Permutation

Called as CombinatorialStat(x, "OccurrencesOf231"). 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 St000219

The number of occurrences of the pattern 231 in a permutation.

ObjectValue
[1,2]0
[2,1]0
[1,2,3]0
[1,3,2]0
[2,1,3]0
[2,3,1]1
[3,1,2]0
[3,2,1]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000219 has the rest.