Results 121 to 130 of about 1,467 (207)

On the properties of \(k\)-Fibonacci and \(k\)-Lucas numbers

open access: yesInternational Journal of Advances in Applied Mathematics and Mechanics, 2014
Summary: In this paper, some properties of \(k\)-Fibonacci and \(k\)-Lucas numbers are derived and proved by using matrices \(S=\begin{pmatrix}\frac k2&\frac{k^2+4}{2}\\ \frac 12&\frac k2\end{pmatrix}\) and \(M=\begin{pmatrix} 0&k^2+4\\ 1&0\end{pmatrix}\).
A. D. Godase, M. B. Dhakne
openaire   +2 more sources

SOME PROPERTIES OF k-ORDER GAUSSIAN FIBONACCI AND LUCAS NUMBERS

open access: yes, 2017
In this paper we define and study the k-order Gaussian Fibonacci and Lucas Numbers with boundary conditions. We identify and prove the generating functions, the Binet formulas, the summation formulas, matrix representation of k-order Gausian Fibonacci ...
Gürel, Eşref, Aşçı, Mustafa
core  

Properties Of Fibonacci And Lucas Numbers

open access: yes
U ovom radu definirali smo Fibonaccijeve brojeve i njihova svojstva, a također smo se upoznali i s rezultatima vezanim uz djeljivost Fibonaccijevih brojeva. Proučili smo i niz brojeva usko vezan za Fibonaccijeve brojeve, a to je Lucasov niz. Osvrnuli smo
Turšćak, Mirna
core   +3 more sources

Asymptotic Analysis of <i>q</i>-Recursive Sequences. [PDF]

open access: yesAlgorithmica, 2022
Heuberger C, Krenn D, Lipnik GF.
europepmc   +1 more source

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