Yazar "Alkan, Altuğ" için İktisadi ve İdari Bilimler Fakültesi listeleme
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On families of solutions for meta-fibonacci recursions related to hofstadter-conway $10000 sequence
Alkan, Altuğ; Aybar, Orhan Özgür (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 Hofstadter Heart Sequences
Alkan, Altuğ; Fox, Nathan; Aybar, Orhan Özgür (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 ...