On one generalization of the Fibonacci sequence. Part VI: Some other examples

Peter G. Georgiev and Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 2, 1996, Number 4, Pages 14–17
Full paper (PDF, 189 Kb)

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Authors and affiliations

Peter G. Georgiev
Dept. of Physics, VMEI,
Varna 9010, Bulgaria

Krassimir T. Atanassov
Math Research Lab., P.O.Box 12,
Sofia-1113, Bulgaria

References

  1. Georgiev P., Atanassov K., On one generalization of the Fibonacci sequence. Part I: Matrix representation. Number Theory, Vol. XVI, 1992, 67-73.
  2. Georgiev K., Atanassov K., On one generalization of the Fibonacci sequence. Part II: Some relations with arbitrary initial values. Bulletin of Number Theory, Vol. XVI, 1992, 75-82.
  3. Georgiev K., Atanassov K., On one generalization of the Fibonacci sequence. Part III: Some relations with fixed initial values. Bulletin of Number Theory, Vol. XVI, 1992, 83-92.
  4. Georgiev P., Atanassov K., On one generalization of the Fibonacci sequence. Part IV: Multiplicity roots of the characteristic equation, see pp. 3-7.
  5. Atanassov K., Atanassova L., Sasselov, D. A new perspective to the generalization of the Fibonacci sequence, The Fibonacci Quarterly Vol. 23 (1985), No. 1, 21-28.
  6. Atanassov K. On a second new generalization of the Fibonacci sequence. The Fibonacci Quarterly Vol. 24 (1986), No. 4, 362-365.
  7. Lee j.-Z., Lee J.-S., Some properties of the generalization of the Fibonacci sequence. The Fibonacci Quarterly Vol. 25 (1987), No. 2, 111-117.
  8. Atanassov K., Hlebarska J., Mihov S. Recurrent formulas of the generalized Fibonacci and Fibonacci sequences. The Fibonacci Quarterly Vol. 30, (1992), No. 1, 77-79.

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Georgiev, P. G. & Atanassov, K. T. (1996). On one generalization of the Fibonacci sequence. Part VI: Some other examples. Notes on Number Theory and Discrete Mathematics, 2(4), 14-17.

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