Titlebook: Applications of Fibonacci Numbers; Proceedings of ‘The Gerald E. Bergum,Andreas N. Philippou,Alwyn F. Hor Conference proceedings 1993 Kluw

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Embedding Fibonacci Words into Fibonacci Word Patterns,roducing sequences labeled ..). Such sequences of words have been considered by many mathematicians (see [1]–[12]) and are related to Fibonacci trees [10], Fibonacci word patterns ([11] and [12]), golden sequences [10], the sequence [.θ] ([1]), symmetric words [4] and the well-known rabbit problem [

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On Sums of Cubes of Fibonacci Numbers,quares of the consecutive Fibonacci numbers. We were struck by the elegance of this formula—especially by its expressing the sum in factored form—and wondered whether anything similar could be done for sums of cubes of Fibonacci numbers. This paper is a report of some of our discoveries.