From Fibonacci Sequence to the Golden Ratio by Alberto Fiorenza, Giovanni Vincenzi

“…We consider the well-known characterization of the Golden ratio as limit of the ratio of consecutive terms of the Fibonacci sequence, and we give an explanation of this property in the framework of the Difference Equations Theory. …”
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Properties of Generalized Bronze Fibonacci Sequences and Their Hyperbolic Quaternions by Engin Özkan, Hakan Akkuş, Alkan Özkan

“…Finally, the terms of the generalized Bronze Fibonacci sequences are associated with their hyperbolic quaternion values.…”
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On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups by Bahram Ahmadi, Hossein Doostie

“…We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. …”
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Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence by Noorsufia Abd Shukor, Tahir Ahmad, Amidora Idris, Siti Rahmah Awang, Amirul Aizad Ahmad Fuad

“…Finally, the relation between the Hamiltonian polygonal paths induced from FTTMn to the k-Fibonacci sequence is established and their upper and lower bounds’ number of paths is determined.…”
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Sequential Properties over Negative Pauli Pascal Table by Eunmi Choi, Jiin Jo

“…We investigate sequential properties of various diagonal sums over the tables C−1 and N−1 and prove that they are types of interlocked Fibonacci sequence and Padovan sequence.…”
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On the Local Minima of the Order of Appearance Function by Florian Luca, Thato Mosima

“…The order of appearance z(n) of the positive integer n is the smallest positive integer k such that n divides Fk, the kth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima of z(n).…”
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On Some Properties of the Hofstadter–Mertens Function by Pavel Trojovský

“…Among them, a class of “chaotic” sequences are named “meta-Fibonacci sequences.” The main example of meta-Fibonacci sequence was introduced by Hofstadter, and it is called the Q-sequence. …”
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C++ and Kotlin performance on Android – a comparative analysis by Grzegorz Zaręba, Maciej Zarębski, Jakub Smołka

“…The authors performed a series of tests based on five selected algorithms: n-bodies, the nth term of the Fibonacci sequence, reading and writing a file, and bubble sort for both small and large sets of values. …”
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MEASUREMENT OF THE AMPLITUDE OF PERIODIC SIGNALS USING THE FIBONACCI METHOD by V. S. Petrushak

“…The application of the Fibonacci register allowed setting the conversion time at the level of N/f (number of register bits / frequency of the incoming signal). Using the Fibonacci sequence of the pentanacci sequence in the basis of the work of the Fibonacci register allowed obtaining odd code values at its output.Based on the obtained research results, a high-resolution converter of the amplitude of high-frequency periodic signals can be developed into a binary code with high speed for tasks: industrial tomography, radar and radio navigation.…”
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On Period of the Sequence of Fibonacci Polynomials Modulo by İnci Gültekin, Yasemin Taşyurdu

“…Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo . It is found that order of cyclic group generated with matrix is equal to the period of these sequences.…”
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