Novel encryption for color images using fractional-order hyperchaotic system. [PDF]
J Ambient Intell Humaniz Comput, 2022 Hosny KM, Kamal ST, Darwish MM.
europepmc +1 more source
A trick around Fibonacci, Lucas and Chebyshev [PDF]
Quadrature 93 (2014), 27-35, 2013 In this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence. We give explanations and extensions of this trick to more general sequences.
arxiv
Diophantine equations in separated variables and polynomial power sums. [PDF]
Mon Hefte Math, 2021 Fuchs C, Heintze S.
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On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2
International Journal of Mathematics and Mathematical Sciences, 2009 Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
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Determinants Containing Powers of Generalized Fibonacci Numbers [PDF]
arXiv, 2015 We study determinants of matrices whose entries are powers of Fibonacci numbers. We then extend the results to include entries that are powers of generalized Fibonacci numbers defined as a second-order linear recurrence relation. These studies have led us to discover a fundamental identity of determinant involving powers of linear polynomials. Finally,
arxiv
Physical Unclonable Function Based on the Internal State Transitions of a Fibonacci Ring Oscillator. [PDF]
Sensors (Basel), 2021 Matuszewski Ł +3 more
europepmc +1 more source
A Response-Feedback-Based Strong PUF with Improved Strict Avalanche Criterion and Reliability. [PDF]
Sensors (Basel), 2023 Zhu B, Jiang X, Huang K, Yu M.
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Lonely Points in Simplices. [PDF]
Discrete Comput Geom, 2023 Jaroschek M, Kauers M, Kovács L.
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Retraction Note to: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant [PDF]
, 2020 Feng Qi, Jing-Lin Wang, Bai‐Ni Guo
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On the arguments of the roots of the generalized Fibonacci polynomial [PDF]
, 2023 Adel Alahmadi +3 more
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