Combined 2-Fibonacci sequences. Part 2

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 16, 2010, Number 4, Pages 18–24
Full paper (PDF, 126 Kb)

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Authors and affiliations

Krassimir T. Atanassov
Department of Bioinformatics and Mathematical Modelling
IBPhBME, Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria

Abstract

Two new sequences from Fibonacci type are introduced and the explicit formulae for their n-th members are given.

Keywords

  • Fibonacci sequence
  • 2-Fibonacci sequence

AMS Classification

  • 11B39

References

  1. Atanassov, K. An arithmetic function and some of its applications. Bull. of Number Theory and Related Topics, Vol. IX (1985), No. 1, 18-27.
  2. Atanassov K., On a second new generalization of the Fibonacci sequence. The Fibonacci Quarterly, Vol. 24 (1986), No. 4, 362-365.
  3. Atanassov, K., Combined 2-Fibonacci sequences. Notes on Number Theory and Discrete Mathematics, Vol. 16, 2010, No. 1, 24-28.
  4. Atanassov K., L. Atanassova, D. Sasselov, A new perspective to the generalization of the Fibonacci sequence, The Fibonacci Quarterly, Vol. 23 (1985), No. 1, 21-28.
  5. Atanassov K., V. Atanassova, A. Shannon, J. Turner, New Visual Perspectives on Fibonacci Numbers. World Scienti c, New Jersey, 2002.
  6. Lee J.-Z., J.-S. Lee, Some properties of the generalization of the Fibonacci sequence. The Fibonacci Quarterly, Vol. 25 (1987) No. 2, 111-117.
  7. Shannon A., R. Melham, Carlitz generalizations of Lucas and Lehmer sequences, The Fibonacci Quartarly, Vol. 31 (1993), No. 2, 105-111.

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Cite this paper

Atanassov, K. T. (2010). Combined 2-Fibonacci sequences. Part 2. Notes on Number Theory and Discrete Mathematics, 16(4), 18-24.

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