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An exploration of solutions to two related Hofstadter-Huber recurrence relations
(Pergamon-Elsevier Science Ltd, 2020)
In this study, we explore the properties of certain solutions of two Hofstadter-Huber recurrence relations. The first is Hofstadter's V-recurrence, which is defined by the nested recurrence relation V(n) = V(n - V (n - 1)) ...
On a recursively defined sequence involving the prime counting function
(University of Waterloo, 2021)
We prove some properties of sequence A335294 from the On-Line Encyclopedia of Integer Sequences, defined by an = ?(n) - ?(?n-1 k=1ak), where ?(x) is the number of primes ? x. In particular we show that the sequence (an) ...