Fibonacci-Like Sequence

  • Authors

    • Shikha Bhatnagar
    • Bijendra Singh
    • Omprakash Sikhwal
    https://doi.org/10.14419/ijams.v1i3.898
  • Fibonacci sequence, Lucas sequence, Fibonacci-Like sequence.

  • Abstract

    The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, which belong to particular class of recursive sequences. In this article, Fibonacci-Like sequence is introduced and defined by The Binet’s formula and generating function of Fibonacci-Like sequence are presented with some identities and connection formulae.


  • References

    1. Atanassov, K. T., Atanassova, L. C., Sasselov, D. D., A New Perspective to the Generalization of the Fibonacci Sequence, Fibonacci Quarterly, Vol. 23, No. 1 (1985), 21-28.
    2. Falcon, S., Plaza, A., The k-Fibonacci Sequence and the Pascal 2-triangle, Chaos, Solitons and Fractals, 33 (2007), 38-49.
    3. Halici, S., Some Sums Formulae for Products of Terms of Pell, Pell-Lucas and Modified Pell Sequences, SAÜ. Fen Bilimleri Dergisi, Vol. 15, No. 2 (2011), 151-155.
    4. Horadam, A. F., The Generalized Fibonacci Sequences, The American Mathematical Monthly, Vol. 68, No. 5 (1961), 455-459.
    5. Jaiswal, D. V., On a Generalized Fibonacci Sequence, Labdev J. Sci. Tech. Part A, Vol. 7 (1969), 67-71.
    6. Kalman, D., Mena, R., The Fibonacci Numbers–Exposed, The Mathematical Magazine, 2, (2002).
    7. Koshy, T., Fibonacci and Lucas Numbers with Applications, John Wiley, New York (2001).
    8. Sburlati, G., Generalized Fibonacci sequences and linear congruences, Fibonacci Quarterly, Vol. 40, No. 5 (2002), 446-452.
    9. Sikhwal, O., Generalization of Fibonacci Sequence: An Intriguing Sequence, Lap Lambert Academic Publishing GmbH & Co. KG, Germany (2012).
    10. Singh, B., Sikhwal, O., Bhatnagar, S., Fibonacci-Like Sequence and its Properties, Int. J. Contemp. Math. Sciences, Vol. 5, No. 18 (2010), 859-868.

  • Downloads

  • How to Cite

    Bhatnagar, S., Singh, B., & Sikhwal, O. (2013). Fibonacci-Like Sequence. International Journal of Advanced Mathematical Sciences, 1(3), 145-151. https://doi.org/10.14419/ijams.v1i3.898