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We calculate the large-$q$ series expansion for the ground state degeneracy(= exponent of the ground state entropy) per site of the $q$-state Pottsantiferromagnet 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 thisseries and a rigorous lower bound derived recently.Comment: 10 pages, Latex, 3 encapsulated postscript figures, to appear in  Phys. Rev.

Large-q series expansion for the ground-state degeneracy of the q-state Potts antiferromagnet on the (3⋅12^{2}) lattice