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OccurrencesOf132 on Permutation ​

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

On Permutation

Called as CombinatorialStat(x, "OccurrencesOf132"). The head's page has its examples.

Live

FindStat St000220

The number of occurrences of the pattern 132 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000220 has the rest.