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math.NT2025
Local structure of classical sequences, regular sequences, and dynamics
Sawian Jaidee, Patrick Moss, Thomas Ward
We introduce the notions of local realizability at a prime and algebraic realizability of an integer sequence. After discussing this notion in general we consider it for the Euler…
math.NT2020★ 2 cited
Fibonacci along even powers is (almost) realizable
Patrick Moss, Tom Ward
An integer sequence is called realizable if it is the count of periodic points of some map. The Fibonacci sequence does not have this property, and the Fibonacci sequence s…