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WeakExcedanceMidPointsOfOccurrencesOf321 on Permutation ​

Positions i with p(i) >= i that are the middle of a 321 occurrence.

On Permutation

Called as CombinatorialStat(x, "WeakExcedanceMidPointsOfOccurrencesOf321"). The head's page has its examples.

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Distribution

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FindStat St000373

The number of weak exceedences of a permutation that are also mid-points of a decreasing subsequence of length 33.

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/St000373 has the rest.