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math.NT2019
Generalised Fibonacci sequences constructed from balancing words
Kevin Hare, J. C. Saunders
We study growth rates of generalised Fibonacci sequences of a particular structure. These sequences are constructed from choosing two real numbers for the first two terms and alway…
math.NT2019
Diophantine Equations Involving the Euler Totient Function
J. C. Saunders
We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences.