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We have developed an improved algorithm that allows us to enumerate thenumber of site animals on the square lattice up to size 46. We also calculatethe number of lattice trees up to size 44 and the radius of gyration of bothlattice animals and trees up to size 42. Analysis of the resulting seriesyields an improved estimate, $\lambda = 4.062570(8)$, for the growth constantof lattice animals, and, $\lambda_0 = 3.795254(8)$, for the growth constant oftrees, and confirms to a very high degree of certainty that both the animal andtree generating functions have a logarithmic divergence. Analysis of the radiusof gyration series yields the estimate, $\nu = 0.64115(5)$, for the sizeexponent.Comment: 14 pages, 2 eps figures, corrections to some series coefficients and  reference

Enumerations of lattice animals and trees