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HertzsprungOccurrencesOf132 on Permutation ​

Positions i with p(i+1) = p(i) + 2 and p(i+2) = p(i) + 1.

On Permutation

Called as CombinatorialStat(x, "HertzsprungOccurrencesOf132"). The head's page has its examples.

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Distribution

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FindStat St001663

The number of occurrences of the Hertzsprung pattern 132 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001663 has the rest.