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A Deceptively Simple Quadratic Recurrence

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arxiv 2409.03510 v5 pith:Q6L4VMJ6 submitted 2024-09-05 math.NT cs.DMmath.CO

Steven Finch This is my paper · ORCID
classification math.NTcs.DMmath.CO
keywords quadraticrecurrencesapplyasymptoticsdeceptivelydeterminedomainexperimentation
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abstract

Standard techniques for treating linear recurrences no longer apply for quadratic recurrences. It is not hard to determine asymptotics for a specific parametrized model over a wide domain of values (all $p \neq 1/2$ here). The gap between theory and experimentation seems insurmountable, however, at a single outlier ($p = 1/2$).

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Popa's "Recurrent Sequences" and Reciprocity

    math.CA 2024-12 conditional novelty 5.0 of 10

    For a family of nonlinear recurrences, the paper evaluates the asymptotic constant C to 25 digits using a reciprocal transformation and the Mavecha-Laohakosol algorithm.

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