Abstract
The well-known Golden Ratio, \(\alpha = (1 + \sqrt {5} )/2 \), is the limit as nāā of the ratio of the Fibonacci numbers F n/F n-1 and the Lucas numbers L n/L n-1. Eq. (1) served to illustrate in [2,3] that unique integer solutions b = 7 and c = 11 exist.
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References
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Ā© 1999 Springer Science+Business Media Dordrecht
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Freitag, H.T., Fielder, D.C. (1999). On General Divisibility of Sums of Integral Powers of the Golden Ratio. In: Howard, F.T. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4271-7_15
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DOI: https://doi.org/10.1007/978-94-011-4271-7_15
Publisher Name: Springer, Dordrecht
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