Skip to content

RestrictedNonInversionsBetweenExcedancesWithLinkedRightmost on Permutation ​

Pairs i < j < p(i) < p(j) with p^-1(j) < j.

On Permutation

Called as CombinatorialStat(x, "RestrictedNonInversionsBetweenExcedancesWithLinkedRightmost"). 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 St001551

The number of restricted non-inversions between exceedances where the rightmost exceedance is linked.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001551 has the rest.