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math.NT2026
Three Quadratic Recurrences Modulo 3: What We Can Prove and What We Can Guess
Steven Finch
We study three innocent-looking recurrences modulo , each built from squares of two earlier terms. One of them turns out to be secretly , and we can compute its…
math.NT2024
A Deceptively Simple Quadratic Recurrence
Steven Finch
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…