The Fibonacci Sequence and Schreier-Zeckendorf Sets

zbMath1455.11030arXiv1906.10962MaRDI QIDQ5236585

Hùng Viẹt Chu

Publication date: 9 October 2019

Full work available at URL: https://arxiv.org/abs/1906.10962

zbMATH Keywords

combinatoricslinear recurrenceFibonacci sequenceSchreier set

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

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Uses Software

• OEIS

Cites Work

• Generalizing Zeckendorf's theorem to \(f\)-decompositions
• Canonical Diophantine representations of natural numbers with respect to quadratic ``bases
• On the number of summands in Zeckendorf decompositions
• Benford Behavior of Zeckendorf Decompositions
• The Average Gap Distribution for Generalized Zeckendorf Decompositions
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