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OccurrencesOf52341 on Permutation ​

Quintuples i < j < k < l < m ordered as 52341.

On Permutation

Avoiding it is necessary for the Schubert variety to have a complete parabolic bundle structure.

Called as CombinatorialStat(x, "OccurrencesOf52341"). The head's page has its examples.

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Distribution

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FindStat St000623

The number of occurrences of the pattern 52341 in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000623 has the rest.