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ExclusiveLeftToRightMaxima on Permutation ​

Left-to-right maxima that are not right-to-left minima.

On Permutation

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

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Distribution

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FindStat St000996

The number of exclusive left-to-right maxima of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000996 has the rest.