Geodesic
Permutations with inversions
Journal of integer sequences, Tome 4 (2001) no. 2
The number of inversions in a random permutation is a way to measure the extent to which the permutation is "out of order". Let $I_{n}(k)$ denote the number of permutations of length n with k inversions. This paper gives asymptotic formulae for the sequences ${I_{n+k}(n)$, n=1,2,$\dots }$ for fixed k.
Classification : 05A05, 05A16, 11B75
Mots-clés : inversions, random permutation 
@article{JIS_2001__4_2_a0,
     author = {Margolius,  Barbara H.},
     title = {Permutations with inversions},
     journal = {Journal of integer sequences},
     year = {2001},
     volume = {4},
     number = {2},
     zbl = {0988.05007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2001__4_2_a0/}
}
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Margolius,  Barbara H. Permutations with inversions. Journal of integer sequences, Tome 4 (2001) no. 2. http://geodesic.mathdoc.fr/item/JIS_2001__4_2_a0/