  We study whether the basin of attraction of a sequence of automorphisms of
$\mathbb{C}^k$ is biholomorphic to $\mathbb{C}^k$. In particular we show that
given any sequence of automorphisms with the same attracting fixed point, the
basin is biholomorphic to $\mathbb{C}^k$ if the maps are repeated often enough.
We also construct Fatou-Bieberbach domains whose boundaries are 4-dimensional.
