LeftToRightMaxima on Permutation

Positions larger than everything before them.

On Permutation

Also called records.

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

Live

Distribution

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Sizes 1 to

FindStat St000314

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

Object	Value
[1]	1
[1,2]	2
[2,1]	1
[1,2,3]	3
[1,3,2]	2
[2,1,3]	2
[2,3,1]	2
[3,1,2]	1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000314 has the rest.