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OccurrencesOf123Or321 on Permutation ​

Triples ordered as 123 or as 321.

On Permutation

Called as CombinatorialStat(x, "OccurrencesOf123Or321"). The head's page has its examples.

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Distribution

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FindStat St000429

The number of occurrences of the pattern 123 or of the pattern 321 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000429 has the rest.