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OccurrencesOf3241Or4231 on Permutation ​

Quadruples ordered as 3241 or as 4231.

On Permutation

A permutation avoids both exactly when it is an input-restricted deque.

Called as CombinatorialStat(x, "OccurrencesOf3241Or4231"). The head's page has its examples.

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Distribution

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FindStat St000404

The number of occurrences of the pattern 3241 or of the pattern 4231 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/St000404 has the rest.