Results 81 to 90 of about 1,200,406 (213)

Period Lengths of the Incomplete Fibonacci and Incomplete Lucas Sequences Modulo m

Mathematics
In this paper, we investigate the periodic behavior of incomplete Fibonacci and Lucas numbers modulo a positive integer m. Let L(F,k,m) and L(L,k,m) denote the least positive periods of the incomplete Fibonacci and incomplete Lucas sequences modulo m ...
Nazmiye Yilmaz
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 and Lucas Numbers [PDF]

, 2017
U ovom diplomskom radu dan je uvod u Fibonaccijeve i Lucasove brojeve. U prvom dijelu rada definirali smo Fibonaccijeve i Lucasove brojeve, dokazali različite identitete koji vrijede za Fibonaccijeve brojeve, neke koji vrijede za Lucasove brojeve i neke ...
Zirdum, Ivona
core   +2 more sources

On the bounds for the spectral norms of geometric circulant matrices

Journal of Inequalities and Applications, 2016
In this paper, we define a geometric circulant matrix whose entries are the generalized Fibonacci numbers and hyperharmonic Fibonacci numbers. Then we give upper and lower bounds for the spectral norms of these matrices.
Can Kızılateş, Naim Tuglu
doaj   +1 more source

Inverse Stereographic Projection of Fibonacci Points onto the Quadric Surfaces

Communications in Advanced Mathematical Sciences
In the present work, the inverse stereographic projection of Fibonacci points onto quadric surfaces of revolution is investigated. The construction of Fibonacci points from Fibonacci numbers, together with the one-to-one and invertible nature of ...
Barış Ateş
doaj   +1 more source

Colored Partitions and the Fibonacci Sequence

Trends in Computational and Applied Mathematics, 2006
We present interesting combinatorial interpretations for the Fibonacci numbers in terms of colored partitions obtained by using finite versions of two identities of the Rogers-Ramanujan type. New formula for the Fibonacci numbers is also given.
J.P.O. Santos, M. Ivkovic
doaj   +1 more source

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  

Fibonacci numbers and Lucas numbers

, 2016
Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são ...
Silva, Bruno Astrolino e
core   +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

Soumyabrata111/Fibonacci-Number v1.0.0

, 2019
<p>This file finds out the desired Fibonacci Number. The function can be called as fibon(n) where n is the number for which Fibonacci Number is to be calculated. n.b. This file does not give Fibonacci Series or Sequence of numbers, rather only the
Soumyabrata Bhattacharjee
core   +1 more source