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On the generalized Gaussian Fibonacci numbers

open access: yes, 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

The role of spreadsheets in an investigation of Fibonacci Numbers

open access: yesSpreadsheets in Education, 2014
We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising ...
John E Baker, Steve Sugden
doaj  

Fibonacci-modulation-induced multiple topological Anderson insulators

open access: yesCommunications Physics
Topological Anderson insulators (TAIs) provide a mechanism for topological phase transitions in disordered systems and have implications for quantum material design.
Ruijiang Ji, Zhihao Xu
doaj   +1 more source

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