NumberOfPermutationsByInversions
NumberOfPermutationsByInversions[n,k]
gives the number of permutations of length 
with exactly 
inversions.
NumberOfPermutationsByInversions[n]
gives a table of the number of length-
permutations with 
inversions, for all 
.
Combinatorica`
Combinatorica`
NumberOfPermutationsByInversions
NumberOfPermutationsByInversions[n,k]
gives the number of permutations of length 
with exactly 
inversions.
NumberOfPermutationsByInversions[n]
gives a table of the number of length-
permutations with 
inversions, for all 
.
Details and Options
- To use NumberOfPermutationsByInversions, you first need to load the Combinatorica Package using Needs["Combinatorica`"].