Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS

  • Received : 2017.12.28
  • Accepted : 2018.02.09
  • Published : 2018.03.25
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Abstract

In this paper we obtain some formulae for several sums of generalized Fibonacci numbers $U_n$ and generalized Lucas numbers $V_n$ and their dual forms $G_n$ and $H_n$ by using extensions of an interesting identity by A. R. Amini for Fibonacci numbers to these four kinds of generalizations and their first and second derivatives.

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References

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