On Hofstadter Heart Sequences

Altug Alkan, Nathan Fox and O. Ozgur Aybar

Complexity, 2017, vol. 2017, 1-8

Abstract:

The Hofstadter -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 -sequence is subtracted from the Conway sequence, a chaotic pattern of heart-shaped figures emerges. We use techniques of Pinn and Tanny et al. to explore this sequence. Then, we introduce and analyze an apparent relative of the -sequence and illustrate how it also generates heart patterns when subtracted from the Conway sequence.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2614163

DOI: 10.1155/2017/2614163

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