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OccurrencesOf132Or213Or321 on Permutation ​

Triples ordered as 132, 213 or 321.

On Permutation

Studied by Gepner in conformal field theory.

Called as CombinatorialStat(x, "OccurrencesOf132Or213Or321"). The head's page has its examples.

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Distribution

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FindStat St000457

The number of occurrences of one of the patterns 132, 213 or 321 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000457 has the rest.