Skip to content

MaximalRiseSize on Permutation ​

The largest p(i+1) - p(i), or 0 when p has no rise.

On Permutation

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

Live

Distribution

Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.

FindStat St000651

The maximal size of a rise in a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000651 has the rest.