  This paper enumerates all juxtaposition classes of the form "Av($abc$) next
to Av($xy$)", where $abc$ is a permutation of length three and $xy$ is a
permutation of length two. We use Dyck paths decorated by sequences of points
to represent elements from such a juxtaposition class. Context-free grammars
are then used to enumerate these decorated Dyck paths.
