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OccurrencesOf12Dash3 on Permutation ​

Triples i, i+1, k with k > i+1 ordered as 123 (12-3).

On Permutation

Called as CombinatorialStat(x, "OccurrencesOf12Dash3"). The head's page has its examples.

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Distribution

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FindStat St000357

The number of occurrences of the pattern 12-3.

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/St000357 has the rest.