A Deceptively Simple Quadratic Recurrence
<|reference_start|>A Deceptively Simple Quadratic Recurrence: 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 ($p = 1/2$).<|reference_end|>
@article{finch2024a,
    title={A Deceptively Simple Quadratic Recurrence},
    author={Steven Finch},
    journal={arXiv preprint arXiv:2409.03510},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.03510},
    primaryClass={math.NT cs.DM math.CO}
}