Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES

  • Received : 2014.06.28
  • Accepted : 2014.09.15
  • Published : 2014.09.30
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Abstract

In this paper, we give linearization of generalized Fi-bonacci sequences {$g_n$} and {$q_n$}, respectively, defined by Eq.(5) and Eq.(6) below and use this result to give the matrix form of the nth power of a companion matrix of {$g_n$} and {$q_n$}, respectively. Then we re-prove the Cassini's identity for {$g_n$} and {$q_n$}, respectively.

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References

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Cited by

  1. COMPLEX FACTORIZATIONS OF THE GENERALIZED FIBONACCI SEQUENCES {qn} vol.23, pp.3, 2014, https://doi.org/10.11568/kjm.2015.23.3.371