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A tree is a connected graph without cycles, with a finite or infinite number of vertices. There are many variants of trees, according to further constraints or decorations.

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Is there a formula for the number of labeled forests with $k$ components on $n$ vertices?

Asymptotics of the number of forests made up of nonrooted trees. (Russian) Mat. Zametki 43 (1988), no. 5, 672–684, 703; translation in Math. Notes 43 (1988), no. 5-6, 387–394) …
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