  In this paper, we enumerate two families of polycubes, the directed plateau
polycubes and the plateau polycubes, with respect to the width and a new
parameter, the Lateral Area. We give an explicit formula and the generating
function for each of the two families of polycubes. Moreover, some asymptotic
results about plateau polycubes are provided. We also establish results
concerning the enumeration of column-convex polyominoes that are useful to get
asymptotic results of polycubes.
