  We calculate the large-$q$ series expansion for the ground state degeneracy
(= exponent of the ground state entropy) per site of the $q$-state Potts
antiferromagnet on the $(3 \cdot 12^2)$ lattice, to order $O(y^{19})$, where
$y=1/(q-1)$. We note a remarkable agreement, to $O(y^{18})$, between this
series and a rigorous lower bound derived recently.
