Geodesic
Generating functions for the number of permutations with limited displacement
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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Let $V(d,n)$ be the number of permutations $p$ of $\{1,2,\ldots ,n\}$ that satisfy $|p_i-i|\le d$ for all $i$. Generating functions for $V(d,n)$, for fixed $d$, are given.
DOI : 10.37236/193
Classification : 05A15, 94B60
Mots-clés : generating function, number of permutations, limited displacement 
@article{10_37236_193,
     author = {Torleiv Kl{\o}ve},
     title = {Generating functions for the number of permutations with limited displacement},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/193},
     zbl = {1186.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/193/}
}
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Torleiv Kløve. Generating functions for the number of permutations with limited displacement. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/193

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