Results 21 to 30 of about 1,467 (207)

The GCD Sequences of the Altered Lucas Sequences

Annales Mathematicae Silesianae, 2020
In this study, we give two sequences {L+n}n≥1 and {L−n}n≥1 derived by altering the Lucas numbers with {±1, ±3}, terms of which are called as altered Lucas numbers.
Koken Fikri
doaj   +1 more source

There are no multiply-perfect Fibonacci numbers [PDF]

, 2011
Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H., Togbe, Alain, Kevin A. Broughan, Huguet, V. Janitzio Mejia, Marcos J. González, Broughan, Kevin A., Luca, Florian, V. Janitzio Mejía Huguet, Ryan H. Lewis, Alain Togbé, Gonzalez, Marcos J., Florian Luca   +11 more
core   +1 more source

Counting the sum of cubes for Lucas and Gibonacci numbers

Science and Technology Indonesia, 2019
Lucas and Gibonacci numbers are  two  sequences of numbers derived from a welknown numbers, Fibonacci numbers. The difference between Lucas and Fibonacci numbers only lies on the first and second elements.
Wamiliana Wamiliana, Suharsono Suharsono, Paustinus Edi Kristanto   +2 more
doaj   +1 more source

Binomial Sum Relations Involving Fibonacci and Lucas Numbers

AppliedMath, 2023
In this paper, we provide a first systematic treatment of binomial sum relations involving (generalized) Fibonacci and Lucas numbers. The paper introduces various classes of relations involving (generalized) Fibonacci and Lucas numbers and different ...
Kunle Adegoke, Robert Frontczak, Taras Goy   +2 more
doaj   +1 more source

On the Intersections of Fibonacci, Pell, and Lucas Numbers [PDF]

Integers, 2011
AbstractWe describe how to compute the intersection of two Lucas sequences of the ...
openaire   +3 more sources

Generalized sums of Fibonacci and Lucas Numbers [PDF]

, 2021
Here we are proposing generalized sums for Fibonacci and Lucas numbers. In the case of the Fibonacci sequence, the generalized sum contains four Fibonacci numbers.
Sparavigna, Amelia Carolina, Sparavigna, A. C.   +1 more
core   +1 more source

Fibonacci numbers and Lucas numbers in graphs

Discrete Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mariusz Startek, Andrzej Wloch, Iwona Wloch   +2 more
openaire   +1 more source

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +1 more source

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
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Hybrid hyper-Fibonacci and hyper-Lucas numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Different number systems have been studied lately. Recently, many researchers have considered the hybrid numbers which are generalization of the complex, hyperbolic and dual number systems.
Yasemin Alp
doaj   +1 more source