Titlebook: Applications of Fibonacci Numbers; Volume 4 Proceedings G. E. Bergum,A. N. Philippou,A. F. Horadam Conference proceedings 1991 Springer Sci

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https://doi.org/10.1007/978-3-030-57401-7r. Two such cases which came to mind were the multinomial triangles [6] and the Hoggatt triangles [2]. No doubt there are others. We selected the multinomial triangles. Was Pascal’s triangle only a .nomial triangle in a sea of .nomial, .nomial, .nomial, etc., triangles, or might it exhibit a signifi

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Reference work 2021Latest edition∈ . given.(See Walton and Horadam [5] for a lengthy list of references on this sequence.) There is a nearly symmetrical relation between {F.} and {L.} exhibited by the well known identities.And.On surveying the very large number of identities involving {F.} and {L.} (see, for example, Hoggatt [1], L

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Markus Grube,Gabriele Jedlitschkysed under addition, how large can the elements of A be? In the following, we will show that.is at most k., and that is the best possible bound. In fact, we will establish in this paper an n-dimensional version of this result.

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Reference work 2021Latest editions confronted with Fibonacci numbers. Indeed these numbers arise in what is considered to be the bugbear of botany. Their overwhelming presence in the secondary spirals on plants has puzzled many research workers. Many theories and models have been elaborated but the problem is still unsolved. The au

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,The Ring of Fibonacci (Fibonacci “Numbers” with Matrix Subscript),lex) numbers enjoy most of the properties of the usual Fibonacci numbers ... integral). A quite natural extension of the numbers .. leads to the definition of the Fibonacci numbers .. and Lucas numbers ...where the subscript . is an arbitrary complex number and .

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Fibonacci and B-Adic Trees in Mosaic Graphs,is assumed which only excludes the five platonic solid graphs. Starting with any ... we can construct G. by adding coronas .. which consist of all p-gons having one vertex or one edge in common with a p-gon of .. (see Figure 1 with .. to .. of .. which is one of the two Fibonacci mosaic graphs in [3]).

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