
doi: 10.5802/crmath.108
We show that the generating function of labelled trees is not D ∞ -finite.
Exact enumeration problems, generating functions, differential equations, Nonlinear ordinary differential equations and systems, Differential algebra, Trees, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Graph labelling (graceful graphs, bandwidth, etc.), labelled rooted trees, Combinatorics, DD-finite series, generating functions, QA1-939, Mathematics
Exact enumeration problems, generating functions, differential equations, Nonlinear ordinary differential equations and systems, Differential algebra, Trees, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Graph labelling (graceful graphs, bandwidth, etc.), labelled rooted trees, Combinatorics, DD-finite series, generating functions, QA1-939, Mathematics
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