Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SOME SEQUENCES RESEMBLING HOFSTADTER'S

  • Allenby, R.B.J.T. (Department of Pure Mathematics University of Leeds) ;
  • Smith, Rachael-C. (Department of Pure Mathematics University of Leeds)
  • Published : 2003.11.01
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Abstract

A number of variants of Hofstadter's original sequence have been investigated. Here we investigate a collection of similarly defined such sequences which give rise to intriguingly different results.

Keywords

References

  1. An Introduction to Number Theory with Computing R.B.J.T.Allenby;E.J.Redfern
  2. Godel, Escher, Bach. An Eternal Golden Braid D.Hofstadter
  3. Discrete Math. v.105 A well-behaved cousin of the Hofstadter sequence Stephen M. Tanny https://doi.org/10.1016/0012-365X(92)90145-6
  4. Fibonacci and Lucas Numbers and the Golden Section S.Vajda

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  1. Nested Recurrence Relations with Conolly-like Solutions vol.26, pp.1, 2012, https://doi.org/10.1137/100795425
  2. Constructing New Families of Nested Recursions with Slow Solutions vol.30, pp.2, 2016, https://doi.org/10.1137/15M1040505
  3. On the Behavior of a Family of Meta-Fibonacci Sequences vol.18, pp.4, 2005, https://doi.org/10.1137/S0895480103421397