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A computational perspective on meta-Fibonacci recurrence relations
(Piri Reis Üniversitesi, 2021)
Bu doktora tezinde, bir bilgisayar cebir sistemi olan PARI/GP ile sağlanan detaylı hesaplamalı araştırmalar sayesinde meta-Fibonacci tekrarlama ilişkileri kavramını yeni bir yaklaşımla keşfediyoruz. İç içe geçmiş tekrarlama ...
An exploration of solutions to two related Hofstadter-Huber recurrence relations
(Pergamon-Elsevier Science Ltd, 2020)
In this study, we explore the properties of certain solutions of two Hofstadter-Huber recurrence relations. The first is Hofstadter's V-recurrence, which is defined by the nested recurrence relation V(n) = V(n - V (n - 1)) ...
On a recursively defined sequence involving the prime counting function
(University of Waterloo, 2021)
We prove some properties of sequence A335294 from the On-Line Encyclopedia of Integer Sequences, defined by an = ?(n) - ?(?n-1 k=1ak), where ?(x) is the number of primes ? x. In particular we show that the sequence (an) ...