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OccurrencesOfInitial2Dash13 on Permutation ​

Triples 1, j, j+1 ordered as 213 (|2-13).

On Permutation

FindStat titles this |21-3.

Called as CombinatorialStat(x, "OccurrencesOfInitial2Dash13"). The head's page has its examples.

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Distribution

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FindStat St001085

The number of occurrences of the vincular pattern |21-3 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001085 has the rest.