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RightToLeftMinima on Permutation ​

Positions smaller than everything after them.

On Permutation

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

Live

FindStat St000991

The number of right-to-left minima of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000991 has the rest.