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Almost Repdigit k -Fibonacci Numbers with an Application of k -Generalized Fibonacci Sequences

Author

Listed:
  • Alaa Altassan

    (Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Murat Alan

    (Department of Mathematics, Yildiz Technical University, Istanbul 34210, Turkey)

Abstract

In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k -generalized Fibonacci sequence which are almost repdigits. In particular, we find all k -generalized Fibonacci numbers which are powers of 10 as a special case of almost repdigits. In the second part of the paper, by using the roots of the characteristic polynomial of the k -generalized Fibonacci sequence, we introduce k -generalized tiny golden angles and show the feasibility of this new type of angles in application to magnetic resonance imaging.

Suggested Citation

  • Alaa Altassan & Murat Alan, 2023. "Almost Repdigit k -Fibonacci Numbers with an Application of k -Generalized Fibonacci Sequences," Mathematics, MDPI, vol. 11(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:455-:d:1036163
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    References listed on IDEAS

    as
    1. Jose L. Herrera & Jhon J. Bravo & Carlos A. Gómez, 2021. "Curious Generalized Fibonacci Numbers," Mathematics, MDPI, vol. 9(20), pages 1-12, October.
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