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EXAMPLE
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a(7) = 9 because there are exactly nine 7-vertex combinatorial 2-manifolds, five of which triangulate the 2-sphere S^2, three of which triangulate RP^2, and one triangulates S^1 X S^1.
a(8) = 44 because there are exactly fortyfour 8-vertex combinatorial 2-manifolds, one of which consists of two copies of S(_4)^2, fourteen of which triangulate the 2-sphere S^2, sixteen of which triangulate RP^2, seven triangulate S^1 X S^1, and six triangulate the Klein bottle.
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