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Consecutive Ratios in Second-Order Linear Recurrence Sequences

Daniel Berend

Daniel Berend

Ben-Gurion University of the NegevBeer Sheva, Israel
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Berend, Daniel
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Rishi Kumar

Rishi Kumar

Ben-Gurion University of the NegevBeer Sheva, Israel
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Kumar, Rishi
  
Dec 12, 2022
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Published Online: Dec 12, 2022
Page range: 51 - 76
Received: Feb 22, 2022
Accepted: Apr 21, 2022
DOI: https://doi.org/10.2478/udt-2022-0012
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© 2022 Daniel Berend et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Let (an)n=0∞ be a second-order linear recurrence sequence with constant coefficient. We study the limit points and asymptotic distribution of the sequence of consecutive ratios an+1/an.

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English
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Journal Subjects:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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