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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 families of solutions for meta-fibonacci recursions related to hofstadter-conway $10000 sequence
(Springer, 2020)
Hofstadter-Conway $10000 sequence is a famous meta-Fibonacci sequence which is defined by recurrence relation c(n) = c(c(n-1)) + c(n-c(n-1)) with c(1)=c(2)=1. Based on its amazing fractal-like structure, in this study, we ...
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 ...