On Hofstadter heart sequences

DOI10.1155/2017/2614163zbMath1380.11009DBLPjournals/complexity/AlkanFA17OpenAlexW2769979841WikidataQ60692607 ScholiaQ60692607MaRDI QIDQ1694188

Nathan Fox, Altug Alkan, Orhan Ozgur Aybar

Publication date: 1 February 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2614163

zbMATH Keywords

meta-Fibonacci sequenceschaotic patternsheart-shaped figuresHofstadter \(Q\)-sequenceHofstadter heart sequencesHofstadter-Conway \$10000 sequence

Mathematics Subject Classification ID

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

Related Items (6)

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

Uses Software

• OEIS

Cites Work

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• A well-behaved cousin of the Hofstadter sequence
• On Conway's recursive sequence
• Trees and meta-Fibonacci sequences
• Constructing New Families of Nested Recursions with Slow Solutions
• Conway's Challenge Sequence
• A Chaotic Cousin of Conway's Recursive Sequence
• Spot-Based Generations for Meta-Fibonacci Sequences

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