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BoxedOccurrencesOf132 on Permutation ​

Occurrences of 132 with no other entry positioned between the first and last and valued between the least and greatest.

On Permutation

Called as CombinatorialStat(x, "BoxedOccurrencesOf132"). 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 St001083

The number of boxed occurrences of 132 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001083 has the rest.