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Generalized Fibonacci Sequences for Elliptic Curve Cryptography
Mathematics, 2023 The Fibonacci sequence is a well-known sequence of numbers with numerous applications in mathematics, computer science, and other fields. In recent years, there has been growing interest in studying Fibonacci-like sequences on elliptic curves.
Zakariae Cheddour +2 more
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New Fibonacci-type pulsated sequences [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 A new Fibonacci-type sequence from pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
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FIBONACCI SEQUENCES IN ACOUSTICS
, 2022 A minireview on innovative structures based on Fibonacci sequences in acoustics is ...
Voinova, Marina,, Voinova, Marina
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On Period of the Sequence of Fibonacci Polynomials Modulo
Discrete Dynamics in Nature and Society, 2013 It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according ...
İnci Gültekin, Yasemin Taşyurdu
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There are no multiply-perfect Fibonacci numbers
, 2011 Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H. +11 more
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Fibonacci Modules and Multiple Fibonacci Sequences
Ars Comb., 2008 Double Fibonacci sequences are introduced and they are related to operations with Fibonacci modules. Generalizations and examples are also discussed.
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Some Fibonacci-Related Sequences
The Fibonacci QuarterlyWe discuss an interesting sequence defined recursively; namely, sequence A105774 from the On-Line Encyclopedia of Integer Sequences, and study some of its properties.
Shallit, Jeffrey, Cloitre, Benoit
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On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
Discrete Dynamics in Nature and Society, 2012 We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.
Bahram Ahmadi, Hossein Doostie
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Generalization of the 2-Fibonacci sequences and their Binet formula [PDF]
Notes on Number Theory and Discrete MathematicsWe will explore the generalization of the four different 2-Fibonacci sequences defined by Atanassov. In particular, we will define recurrence relations to generate each part of a 2-Fibonacci sequence, discuss the generating function and Binet formula of ...
Timmy Ma, Richard Vernon, Gurdial Arora
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Powers in a class of A-strict standard episturmian words
, 2007 This paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic Sturmian words. In particular, we explicitly determine all integer powers occurring in such infinite words, extending recent ...
Glen, Amy, Glen, A.
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