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<https://discovery.ucl.ac.uk/id/eprint/1412350> <http://purl.org/ontology/bibo/abstract> "Consider the discrete equation where the right side is of degree two in yn and where the coefficients an, bn and cn are rational functions of n with rational coefficients. Suppose that there is a solution such that for all sufficiently large n, yn ∈ ℚ and the height of yn dominates the height of the coefficient functions an, bn and cn. We show that if the logarithmic height of yn grows no faster than a power of n then either the equation is a well known discrete Painlevé equation dPII or its autonomous version or yn is also an admissible solution of a discrete Riccati equation. This provides further evidence that slow height growth is a good detector of integrability."^^<http://www.w3.org/2001/XMLSchema#string> .
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