Sums of products of two reciprocal Fibonacci numbers

DOI10.1186/s13662-016-0860-0zbMath1419.11031OpenAlexW2400763595WikidataQ59467584 ScholiaQ59467584MaRDI QIDQ1725514

Andrew Y. Z. Wang, Runnan Liu

Publication date: 14 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0860-0

zbMATH Keywords

reciprocal sumFibonacci numberfloor function

Mathematics Subject Classification ID

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

Related Items (6)

On the finite reciprocal sums of Fibonacci and Lucas polynomials ⋮ A three by three Pascal matrix representations of the generalized Fibonacci and Lucas sequences ⋮ Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers ⋮ ON THE RECIPROCAL SUMS OF MULTIPLES-OF-p-INDEXED FIBONACCI NUMBERS ⋮ Unnamed Item ⋮ On the reciprocal sum of the fourth power of Fibonacci numbers

Cites Work

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• The reciprocal sums of even and odd terms in the Fibonacci sequence
• An application of Fibonacci numbers in matrices.
• The reciprocal sums of the Fibonacci 3-subsequences
• Algebraic relations for reciprocal sums of even terms in Fibonacci numbers
• On the partial finite sums of the reciprocals of the Fibonacci numbers
• Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers
• Algebraic independence results for reciprocal sums of Fibonacci numbers
• Algebraic relations for reciprocal sums of Fibonacci numbers

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