  Let $\Gamma$ be a quiver on n vertices $v_1, v_2, ..., v_n$ with $g_{ij}$
edges between $v_i$ and $v_j$, and let $\alpha \in \N^n$. Hua gave a formula
for $A_{\Gamma}(\alpha, q)$, the number of isomorphism classes of absolutely
indecomposable representations of $\Gamma$ over the finite field $\F_q$ with
dimension vector $\alpha$. Kac showed that $A_{\Gamma}(\bm{\alpha}, q)$ is a
polynomial in q with integer coefficients. Using Hua's formula, we show that
for each non-negative integer s, the s-th derivative of $A_{\Gamma}(\alpha,q)$
with respect to q, when evaluated at q = 1, is a polynomial in the variables
$g_{ij}$, and we compute the highest degree terms in this polynomial. Our
formulas for these coefficients depend on the enumeration of certain families
of connected graphs.
