On Hofstadter Heart Sequences
Altug Alkan, Nathan Fox, Orhan Özgür Aybar · Complexity · 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 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 Q -sequence and illustrate how it also generates heart patterns when subtracted from the Conway sequence.