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.

Published
2009-08-14
Article Number
R104