On a generalization of Hofstadter's \(Q\)-sequence: a family of chaotic generational structures

DOI10.1155/2018/8517125zbMath1398.11032OpenAlexW2810104609WikidataQ60692614 ScholiaQ60692614MaRDI QIDQ1784934

Altug Alkan

Publication date: 27 September 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8517125

zbMATH Keywords

chaotic generational structuresHofstadter's \(Q\)-sequence

Mathematics Subject Classification ID

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

Related Items (5)

On some properties of a meta-Fibonacci sequence connected to Hofstadter sequence and Möbius function ⋮ An exploration of solutions to two related Hofstadter-Huber recurrence relations ⋮ On some properties of the Hofstadter-Mertens function ⋮ On Families of Solutions for Meta-Fibonacci Recursions Related to Hofstadter-Conway $10000 Sequence ⋮ On a conjecture about generalized \(Q\)-recurrence

Uses Software

• OEIS

Cites Work

• A well-behaved cousin of the Hofstadter sequence
• On Hofstadter heart sequences
• On Conway's recursive sequence
• Trees and meta-Fibonacci sequences
• Constructing New Families of Nested Recursions with Slow Solutions
• Quasipolynomial Solutions to the Hofstadter Q-Recurrence
• Isoperimetric Problem and Meta-fibonacci Sequences
• Conway's Challenge Sequence
• A Chaotic Cousin of Conway's Recursive Sequence
• Spot-Based Generations for Meta-Fibonacci Sequences
• A VARIANT OF HOFSTADTER’S SEQUENCE AND FINITE AUTOMATA
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