Results 171 to 180 of about 903 (200)

The Eccentricity Sequences of Fibonacci and Lucas Cubes

Discrete Mathematics, 2012
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Michel Mollard
exaly   +4 more sources

Multiplicative Dependence Between k-Fibonacci and k-Lucas Numbers [PDF]

Periodica Mathematica Hungarica, 2020
A generalization of the well-known Fibonacci and Lucas sequences are the k-Fibonacci andk-Lucas sequences with some fixed integer k ≥ 2. For these sequences the first k termsare 0,..., 0, 1 and 0,..., 0, 2, 1, respectively, and each term afterwards is ...
Carlos A Gomez, Florian Luca
exaly   +2 more sources

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Some Identities of the Generalized Fibonacci and Lucas Sequences

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhizheng Zhang
exaly   +4 more sources

PROPERTIES OF FIBONACCI AND LUCAS SEQUENCES VIA FIBONACCI LIKE MATRICES

Advances in Mathematics: Scientific Journal, 2022
Some interesting identities of Fibonacci and Lucas Sequences by using Fibonacci like Matrices are discussed.
G.S. Kawale, R.M. Lahurikar
openaire   +1 more source

On the Binomial Sums of k-Fibonacci and k -Lucas sequences

AIP Conference Proceedings, 2011
The main purpose of this paper is to establish some new properties of k‐Fibonacci and k‐Lucas numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct way. Moreover, some connections between k‐Fibonacci and k‐Lucas numbers are revealed to get a more strong result.
N. Yilmaz, N. Taskara, K. Uslu, Y. Yazlik, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi   +7 more
openaire   +1 more source

Integration Sequences of Fibonacci and Lucas Polynomials

1993
Let us consider the Fibonacci polynomials U n (x)= W n (0,1; x, - 1) and the Lucas polynomials V n (x) = W n (2,x; x, - 1) (See [6] and [7] for background material on the sequences W n ) defined as $$ {U_n}(x) = x{U_{{n - 1}}}(x) + {U_{{n - 2}}}(x)\;\;\left[ {{U_0}(x) = 0,\;{U_1}(x) = 1} \right] $$ (1.1) and $$ {V_n}(x) = x{V_{{n - 1}}}(x)
Alwyn F. Horadam, Piero Filipponi
openaire   +1 more source

FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPAL MINORS OF SOME INFINITE MATRICES

Journal of Algebra and Its Applications, 2009
In the literature one may encounter certain infinite tridiagonal matrices, the principal minors of which, constitute the Fibonacci or Lucas sequence. The major purpose of this article is to find new infinite matrices with this property. It is interesting to mention that the matrices found are not tridiagonal which have been investigated before ...
Moghaddamfar, A. R., Pooya, S. M. H., Salehy, S. Navid, Salehy, S. Nima   +3 more
openaire   +2 more sources

Integer sequences that behave as Fibonacci-Lucas pairs

The Mathematical Gazette, 2013
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openaire   +2 more sources

First Derivative Sequences of Extended Fibonacci and Lucas Polynomials

1998
In this article we conclude our investigation on the Fibonacci and Lucas derivative sequences by generalizing the sequences \( \left\{ {F\begin{array}{*{20}{c}} {(1)} \\ n \\ \end{array} } \right\} \) and \( \left\{ {L\begin{array}{*{20}{c}} {(1)} \\ n \\ \end{array} } \right\} \) and \( \left\{ {G\begin{array}{*{20}{c}} {(1)} \\ n \\ \end{array ...
Piero Filipponi, Alwyn F. Horadam
openaire   +1 more source

Some Subsequences of the Generalized Fibonacci and Lucas Sequences

2019
We derive first-order nonlinear homogeneous recurrence relations for certain subsequences of generalized Fibonacci and Lucas sequences. We also present a polynomial representation for the terms of Lucas subsequence.
Kılıç, Emrah, Kılıç, Elif Tan
openaire   +1 more source