The Fibonacci Numbers—Exposed

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On the Fibonacci k-numbers (2007, background): “In the present days there is a huge interest of modern science in the application of the Golden Section and Fibonacci numbers [1–19].”
An application of Fibonacci numbers into infinite Toeplitz matrices (2012, background): “Also, some basic properties of Fibonacci numbers are given as follows (see [2,3]):”
On k-Fibonacci sequences and polynomials and their derivatives (2009, background): “There is a huge interest of modern science in the application of the Golden Section and Fibonacci numbers [1–10].”
The Fibonacci Numbers—Exposed More Discretely (2003, methodology): “Indeed, we will present a simple combinatorial context encompassing nearly all of the properties discussed in [5].”
Some New Identities Concerning Generalized Fibonacciand Lucas Numbers (2013, methodology): “information about generalized Fibonacci and Lucas numbers one can consult [1], [2], [3], and [4].”