Results 181 to 190 of about 973 (216)

On the representation of k-generalized Fibonacci and Lucas numbers

Applied Mathematics and Computation, 2005
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Naim Tuğlu, Ercan Altinisik
exaly   +4 more sources

A note on generalized Fibonacci numbers

Journal of Discrete Mathematical Sciences and Cryptography, 2001
Abstract Starting from the simplest recurrence relations of second order, in this paper are suggested direct solutions obtained from a generalization of Pascal’s Triangle. With some binomial formulas, it isn’t necessary anymore to calculate roots of associated equations, and the extension of parameters’ definition field to the complex field can be done
Eugeni F, MASCELLA, RAFFAELE
openaire   +2 more sources

On generalized fibonacci groups with an odd number of generators

Communications in Algebra, 2000
The geometrical properties of cyclically presented groups of Fibonacci type F(r,m, k) and H(r,m,k) are discussed. It is shown that for even rand odd m some infinite family of generalized Fibonacci groups F(r, m, k) cannot be fundamental groups of hyperbolic 3-orbifolds of finite volume.
Andrzej Szczepański, Andrei Vesnin
openaire   +1 more source

Triangular numbers and generalized fibonacci polynomial

Mathematica Slovaca, 2022
AbstractIn the present paper, we study triangular numbers. We focus on the linear homogeneous recurrence relation of degree 3 with constant coefficients for triangular numbers. Then we deal with the relationship between generalized Fibonacci polynomials and triangular numbers.
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Generalized Fibonacci numbers and applications

2009 IEEE International Conference on Systems, Man and Cybernetics, 2009
The present paper relates to the methods for data encoding and the reading of coded information represented by colored (including monochrome/black, gray) symbols (bars, triangles, circles, or other symbols). It also introduces new algorithms for generating secure, reliable, and high capacity color barcodes by using so called weighted n-dimensional ...
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A new approach to generalized Fibonacci and Lucas numbers with binomial coefficients

Applied Mathematics and Computation, 2013
In this study, Fibonacci and Lucas numbers have been obtained by using generalized Fibonacci numbers. In addition, some new properties of generalized Fibonacci numbers with binomial coefficients have been investigated to write generalized Fibonacci ...
Gulec, H. H., Taskara, N., Uslu, K.
exaly   +2 more sources

Generalized Fibonacci Numbers and the Problem of Diophantus

The Fibonacci Quarterly, 1996
In this paper we construct several Diophantine quadruples whose elements are represented using generalized Fibonacci numbers.
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Generalized Fibonacci Number Triples

The American Mathematical Monthly, 1973
(1973). Generalized Fibonacci Number Triples. The American Mathematical Monthly: Vol. 80, No. 2, pp. 187-190.
A. G. Shannon, A. F. Horadam
openaire   +1 more source

A generalization of generalized Fibonacci and generalized Pell numbers

International Journal of Mathematical Education in Science and Technology, 2016
This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained.
W.M. Abd-Elhameed, N.A. Zeyada
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Reciprocals of Generalized Fibonacci Numbers

The Fibonacci Quarterly, 1971
Shannon, A. G., Horadam, A. F.
openaire   +2 more sources