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ON THE INTERSECTION OF k-FIBONACCI AND PELL NUMBERS

  • Bravo, Jhon J. (Departamento de Matematicas Universidad del Cauca) ;
  • Gomez, Carlos A. (Departamento de Matematicas Universidad del Valle) ;
  • Herrera, Jose L. (Departamento de Matematicas Universidad del Cauca)
  • Received : 2018.04.30
  • Accepted : 2018.10.29
  • Published : 2019.03.31
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Abstract

In this paper, by using the lower bound of linear forms in logarithms of Matveev and the theory of continued fractions by means of a variation of a result of Dujella and $Peth{\ddot{o}}$, we find all generalized Fibonacci numbers which are Pell numbers. This paper continues a previous work that searched for Pell numbers in the Fibonacci sequence.

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References

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