NegativeSumPairCount on SignedPermutation
Pairs i < j with p(i) + p(j) < 0.
Called as CombinatorialStat(x, "NegativeSumPairCount"). The head's page has its examples.
Live
Distribution
Over SignedPermutations at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St001434
The number of negative sum pairs of a signed permutation.
| Object | Value |
|---|---|
[1] | 0 |
[-1] | 0 |
[1,2] | 0 |
[2,1] | 0 |
[-1,2] | 0 |
[-2,1] | 1 |
[1,-2] | 1 |
[2,-1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001434 has the rest.