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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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https://doi.org/10.1007/978-3-540-38918-7ently shown in [2], [4] and [5] that .(n) can be given explicitly as . where Ψ is the unique positive root of the polynomial equation .. + . − 1 = 0, i.e., ., the reciprocal of the golden ratio. Here and in what follows, [.] denotes the greatest integer less than or equal to ..
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Encyclopedia of Molecular Pharmacologyerred to an operational calculus for one-sided sequences, by using the Cauchy product instead of the Duhamel convolution, suitable for functional spaces (see e.g. [9], [7], [4]). As far as we know, till recently no attempts have been made however for using the Mikusinski approach for building operat
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Encyclopedia of Molecular Pharmacologyight the role of enumeration in combinatorics. While the importance of knowing “how many” cannot be denied, there are many instances where the unique . of members of an enumeration can serve as codes to perform external control tasks or even adaptively influence the future course of the enumeration.
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On a Class of Iterative Recurrence Relations,ently shown in [2], [4] and [5] that .(n) can be given explicitly as . where Ψ is the unique positive root of the polynomial equation .. + . − 1 = 0, i.e., ., the reciprocal of the golden ratio. Here and in what follows, [.] denotes the greatest integer less than or equal to ..
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Encyclopedia of Molecular Pharmacologyroducing 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 [8].
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A Kinase Anchoring Proteins (AKAPs)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.
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Encyclopedia of Molecular Pharmacologytinue to arise. See references [1] to [6]. The purpose of this article is twofold. We shall first present some additional interesting facts about triangles. Then we shall leave the reader with some unanswered questions. However, we will assume that all of the triangles used in this paper have integer sides.
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