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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 Hofstadter Heart Sequences
(Wiley-Hindawi, 2017)
The Hofstadter Q-sequence and the Hofstadter-Conway $10000 sequence are perhaps the two best known examples of meta-Fibonacci sequences. In this paper, we explore an unexpected connection between them. When the Q-sequence ...
On a conjecture about generalized Q-recurrence
(Sciendo, 2018)
Chaotic meta-Fibonacci sequences which are generated by intriguing examples of nonlinear recurrences still keep their mystery although substantial progress has been made in terms of well-behaved solutions of nested ...
On a Generalization of Hofstadter's Q-Sequence: A Family of Chaotic Generational Structures
(Wiley-Hindawi, 2018)
Hofstadter Q-recurrence is defined by the nested recurrence Q(n) = Q(n - Q(n - 1)) + Q(n - Q(n - 2)), and there are still many unanswered questions about certain solutions of it. In this paper, a generalization of Hofstadter's ...
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) ...
