On some properties of a meta-Fibonacci sequence connected to Hofstadter sequence and Möbius function

Pavel Trojovský

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: The Hofstadter Q-sequence is perhaps the most known example of meta-Fibonacci sequence. Many authors have been interested in meta-Fibonacci sequences related to this sequence. For example, recently, it was studied by A. Alkan, N. Fox, and O. Aybar the connection between the Q-sequence and the Hofstadter-Conway $ 10,000 sequence. Here, in the similar spirit as their paper, we study the interplay between the Hofstadter Q-sequence and one of the more important multiplicative arithmetic function, namely, the Möbius function.

Keywords: Hofstadter Q-sequence; Meta-sequence; Möbius function; Chaos; Fractal; Nonlinearity (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301107

DOI: 10.1016/j.chaos.2020.109708

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