  Let $\Lambda$ be a radical square zero algebra of a Dynkin quiver and let
$\Gamma$ be the Auslander algebra of $\Lambda$. Then the number of tilting
right $\Gamma$-modules is $2^{m-1}$ if $\Lambda$ is of $A_{m}$ type for $m\geq
1$. Otherwise, the number of tilting right $\Gamma$-modules is
$2^{m-3}\times14$ if $\Lambda$ is either of $D_{m}$ type for $m\geq 4$ or of
$E_{m}$ type for $m=6,7,8$.
