Results 101 to 110 of about 237,797 (205)

Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials

open access: yesDüzce Üniversitesi Bilim ve Teknoloji Dergisi
In this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems.
Abdullah Dertli, Selime Beyza Özçevik
doaj   +1 more source

New expressions for certain polynomials combining Fibonacci and Lucas polynomials

open access: yesAIMS Mathematics
We establish a new sequence of polynomials that combines the Fibonacci and Lucas polynomials. We will refer to these polynomials as merged Fibonacci-Lucas polynomials (MFLPs).
Waleed Mohamed Abd-Elhameed   +1 more
doaj   +1 more source

Pseudorandom generators based on Lucas Sequences

open access: yesRatio Mathematica, 1993
Pseudo-random sequence generators are the heart of Stream-cipher systems. This work presents some design criteria for such generators. based on innovative methods. To this aim the Lucas Sequences, reduced modulo a prime p.
A Di Porto, W Wolfowics
doaj  

Analytical Characterization of Self-Similarity in k-Cullen Sequences Through Generating Functions and Fibonacci Scaling

open access: yesFractal and Fractional
In this study, we define the k-Cullen, k-Cullen–Lucas, and Modified k-Cullen sequences, and certain terms in these sequences are given. Then, we obtain the Binet formulas, generating functions, summation formulas, etc.
Hakan Akkuş   +2 more
doaj   +1 more source

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