As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

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Day trading strategies include Fibonacci numbers that a pair of seasoned stock sherpas use to guide investments in pursuit of profits. The day trading strategies include Fibonacci numbers that are ...

In this paper, we study the symmetric and the generating functions for odd and even terms of the second-order linear recurrence sequences. we introduce a operator in order to derive a new family of ...

What we today call the golden mean was known in antiquity. It is a specific ratio of lengths between two line segments. Ancient architects often used this ratio to achieve visually pleasing esthetic ...

Abstract. We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and m-dimensional recurrence relations. For each integer m, there exist both rational ...