Generating Functions for the Number of Permutations with Limited Displacement

Torleiv Kløve

Abstract


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.


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