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OccurrencesOfInitial231 on Permutation ​

Triples 1 < j < k ordered as 231 (|231).

On Permutation

Called as CombinatorialStat(x, "OccurrencesOfInitial231"). The head's page has its examples.

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Distribution

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FindStat St000800

The number of occurrences of the vincular 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/St000800 has the rest.