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LeftToRightMaximaPositionSum on Permutation ​

The sum of the positions of the left-to-right maxima.

On Permutation

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

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FindStat St000756

The sum of the positions of the left to right maxima of a permutation.

ObjectValue
[1]1
[1,2]3
[2,1]1
[1,2,3]6
[1,3,2]3
[2,1,3]4
[2,3,1]3
[3,1,2]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000756 has the rest.