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RightToLeftMaxima on Permutation ​

Positions larger than everything after them.

On Permutation

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

Live

FindStat St000007

The number of saliances of the permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000007 has the rest.