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LargestWeakExcedancePosition on Permutation ​

The largest i with p(i) >= i.

On Permutation

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

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Distribution

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FindStat St001497

The position of the largest weak excedence of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001497 has the rest.