  A curious generating function $S_0(x)$ for permutations of $[n]$ with exactly
$n$ inversions is presented. Moreover, $(xC(x))^iS_0(x)$ is shown to be the
generating function for permutations of $[n]$ with exactly $n-i$ inversions,
where $C(x)$ is the generating function for the Catalan numbers.
