What is the amount of non-isomorphic trees of order n with a maximum incidence of 4?

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It's a graph-theory model of the theoretical amount of possible non-cyclic alkanes isomers.

I can't find a way to compute it? Any hints appreciated.

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You probably want A000602 which is the count of CnH2n+2 compounds.

Also see this answer on chemistry stack exchange, which has some interesting background.