  The Catalan numbers $C_k$ were first studied by Euler, in the context of
enumerating triangulations of polygons $P_{k+2}$. Among the many
generalizations of this sequence, the Fuss-Catalan numbers $C^{(d)}_k$ count
enumerations of dissections of polygons $P_{k(d-1)+2}$ into $(d+1)$-gons. In
this paper, we provide a formula enumerating polygonal dissections of
$(n+2)$-gons, classified by partitions $\lambda$ of $[n]$. We connect these
counts $a_{\lambda}$ to reverse series arising from iterated polynomials.
Generalizing this further, we show that the coefficients of the reverse series
of polynomials $x=z-\sum_{j=0}^{\infty} b_j z^{j+1}$ enumerate colored
polygonal dissections.
