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

Peter G. Georgiev and Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 2, 1996, Number 4, Pages 8–13
Full paper (PDF, 259 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-
  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 V: Some examples. Notes on Number Theory and Discrete Mathematics, 2(4), 8-13.

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