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Demonstrates formulae for sums of generalized Fibonacci and Lucas numbers, suggesting new insights into their relationships.
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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