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NonCyclicSmallExcedances on Permutation ​

Positions that are not cyclic small excedances.

On Permutation

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

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Distribution

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FindStat St000235

The number of indices that are not cyclical small weak excedances.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000235 has the rest.