On Families of Solutions for Meta-Fibonacci Recursions Related to Hofstadter-Conway $10000 Sequence

DOI10.1007/978-3-030-35441-1_14zbMath1444.11027OpenAlexW3007917544MaRDI QIDQ3298314

Orhan Ozgur Aybar, Altug Alkan

Publication date: 14 July 2020

Published in: Chaos and Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35441-1_14

zbMATH Keywords

meta-Fibonacci sequenceHofstadter-Conway \$10000 sequence

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

An exploration of solutions to two related Hofstadter-Huber recurrence relations

Uses Software

• OEIS

Cites Work

• A well-behaved cousin of the Hofstadter sequence
• On Hofstadter heart sequences
• On a conjecture about generalized \(Q\)-recurrence
• On a generalization of Hofstadter's \(Q\)-sequence: a family of chaotic generational structures
• On Conway's recursive sequence
• Conway's Challenge Sequence
• Iterated Floor Function, Algebraic Numbers, Discrete Chaos, Beatty Subsequences, Semigroups
• A Chaotic Cousin of Conway's Recursive Sequence

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