Results 81 to 90 of about 8,614,926 (216)

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

Another type of generalized fibonacci series

Semina: Ciências Exatas e Tecnológicas, 2004
The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation.
Júlio Pureza, Gil Bazanini
doaj  

Karakteristik Graf Dengan Sisi Bilangan Fibonacci

Jurnal Derivat
Let  be a finite subset of Fibonacci numbers set. In this research, we construct a graph  where the set of vertices contains integer numbers such that for every , there exist some edge  in  that satisfies the condition . By applying some properties
Darmajid, Dwi Mifta Mahanani
doaj   +1 more source

SOME COMBINATORIAL ASPECTS OF BI-PERIODIC INCOMPLETE HORADAM SEQUENCES

, 2022
20th International Conference on Fibonacci Numbers and Their Applications -- JUL 25-29, 2022 -- Univ Sarajevo, BOSNIA & HERCEGWe have recently introduced the bi-periodic incomplete Horadam numbers as a generalization of incomplete Horadam numbers, and ...
Tan, Elif, Belkhir, Amine, Dagli, Mehmet
core  

A note on Fibonacci matrices of even degree

International Journal of Mathematics and Mathematical Sciences, 2001
This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
doaj   +1 more source

Fibonacci and Telephone Numbers in Extremal Trees

Discussiones Mathematicae Graph Theory, 2018
In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings.
Bednarz Urszula, Włoch Iwona
doaj   +1 more source

Fibonacci numbers: A population dynamics perspective

Heliyon, 2019
Fibonacci numbers or Fibonacci sequence is among the most popular numbers or sequence in Mathematics. In this paper, we discuss the sequence in a population dynamics perspective. We discuss the early development of the sequence and interpret the sequence
Asep K. Supriatna, Ema Carnia, Meksianis Z. Ndii   +2 more
doaj   +1 more source

Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]

Advances in Difference Equations, 2015
In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
openaire   +3 more sources

Matrices of Fibonacci Numbers

, 1981
The matrices of Fibonacci numbers (called windows) possess some unusual properties which are not shared by normal matrices, such as commutativity under multiplication and +1 for all determinants.
M.C. Er
core  

ON SOME OF THE SMARANDACHE'S PROBLEMS [PDF]

, 2009
The bigger part of the problems discussed in the present book (22 in number) are related to different sequences. For each of them the form of the n-th member is determined and for all of them except 4 problems - the form of the n-th partial sum.
Atanassov, T. Krassimir
core   +1 more source