A Fibonacci type sequence with Prouhet–Thue–Morse coefficients

DOI10.1080/10236198.2022.2065918OpenAlexW3203192168MaRDI QIDQ5085253

Eryk Lipka, Maciej Ulas

Publication date: 27 June 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.15243

zbMATH Keywords

linear recurrencesautomatic sequencesgeneralized Fibonacci sequences

Mathematics Subject Classification ID

Automata sequences (11B85) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)

Cites Work

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• Periodic coefficients and random Fibonacci sequences
• An elementary proof that random Fibonacci sequences grow exponentially
• Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets)
• Mahler functions and transcendence
• Fibonacci Series Modulo m
• Automatic Sequences
• On a difference equation of the second order with an exponential coefficient
• Random Fibonacci sequences and the number $1.13198824\dots$
• On the base-dependence of sets of numbers recognizable by finite automata
• Noncommuting Random Products

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