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Symmetric Recursive Sequences Mod M

In: Applications of Fibonacci Numbers

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Listed:
  • Kenji Nagasaka
  • Shiro Ando

Abstract

Distribution properties of integer sequences have been widely studied from various points of view. The sequence of Fibonacci numbers {F n } is, of course, one of the main targets for this study. Indeed, {log F n } is uniformly distributed mod 1, so that {F n } obeys Benford’s law, detailed study of which is carried out in [6]. In this note we are going to treat uniform distribution properties of certain recursive integer sequences in residue classes.

Suggested Citation

  • Kenji Nagasaka & Shiro Ando, 1988. "Symmetric Recursive Sequences Mod M," Springer Books, in: A. N. Philippou & A. F. Horadam & G. E. Bergum (ed.), Applications of Fibonacci Numbers, pages 17-28, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-7801-1_3
    DOI: 10.1007/978-94-015-7801-1_3
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