On Zeckendorf Related Partitions Using the Lucas Sequence

zbMath1505.11026arXiv2004.08316MaRDI QIDQ5868556

David C. Luo, Hùng Viẹt Chu, Steven J. Miller

Publication date: 21 September 2022

Full work available at URL: https://arxiv.org/abs/2004.08316

zbMATH Keywords

sum of nonconsecutive Fibonacci numberssum of nonconsecutive terms of Lucas sequenceunique partition

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Other number representations (11A67)

Cites Work

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• Systems of Numeration
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• An Introduction to Completeness of Positive Linear Recurrence Sequences
• On Generalized Zeckendorf Decompositions and Generalized Golden Strings
• Central Limit Theorems for Gaps of Generalized Zeckendorf Decompositions
• Individual Gap Measures from Generalized Zeckendorf Degompositions
• Gaussian Behavior in Generalized Zeckendorf Decompositions
• Representation of Natural Numbers as Sums of Generalised Fibonacci Numbers
• Note on Complete Sequences of Integers

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