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OccurrencesOf312 on Permutation ​

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

On Permutation

Called as CombinatorialStat(x, "OccurrencesOf312"). The head's page has its examples.

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Distribution

Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.

FindStat St000217

The number of occurrences of the pattern 312 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000217 has the rest.