Representation of Natural Numbers as Sums of Generalised Fibonacci Numbers
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Publication:5617666
DOI10.1112/jlms/s1-35.2.143zbMath0215.06801OpenAlexW2023297137MaRDI QIDQ5617666
Publication date: 1960
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s1-35.2.143
Related Items (12)
On Zeckendorf Related Partitions Using the Lucas Sequence ⋮ Generalizing Zeckendorf's theorem to \(f\)-decompositions ⋮ A Fibonacci analogue of the two’s complement numeration system ⋮ Zeckendorf representation of multiplicative inverses modulo a Fibonacci number ⋮ Sum-distinct sequences and Fibonacci numbers ⋮ Average number of Zeckendorf integers ⋮ The distribution of gaps between summands in generalized Zeckendorf decompositions ⋮ The third order variations on the Fibonacci universal code ⋮ Long range variations on the Fibonacci universal code ⋮ On the complexity of Fibonacci coding ⋮ The weak converse of Zeckendorf's theorem ⋮ A Probabilistic Approach to Generalized Zeckendorf Decompositions
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