Enumeration of lattice animals embeddable in a square lattice has been extended to 24 cell animals by Redelmeier (1981). It is shown that the number of animals per site a n approximately 0.317(4.0626) n n -1 exp(-0.465 n -0.87 ) to a high degree of accuracy.
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A J Guttmann (1982) studied this question.
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