Abstract
The analytic methods of Pólya, as reported in [1, 6] are used to determine the asymptotic behavior of the expected number of (unlabeled) trees in a random forest of order p. Our results can be expressed in terms of η = .338321856899208 …, the radius of convergence of t(x) which is the ordinary generating function for trees. We have found that the expected number of trees in a random forest approaches 1 + Σ k=1 ∞ t( η k ) = 1.755510 … and the form of this result is the same
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