Results 111 to 120 of about 717 (218)

Generalized Fibonacci and Lucas cubes arising from powers of paths and cycles

, 2016
The paper deals with some generalizations of Fibonacci and Lucas sequences, arising from powers of paths and cycles, respectively. In the first part of the work we provide a formula for the number of edges of the Hasse diagram of the independent sets of
P. Codara, O.M. D’Antona
core   +1 more source

Solvability of a third-order system of nonlinear difference equations via a generalized Fibonacci sequence

Miskolc Mathematical Notes
In this paper, we solve in closed-form the following third-order system of nonlinear difference equations xn+1= ynyn−1xn−1pxn(anyn−2q+bnynyn−1),yn+1= xnxn−1yn−1qyn(cnxn−2p+dnxnxn−1),p,q∈ℕ,n∈ℕ0 x−i,y−i,i=0,1,2(an)n∈ℕ0,(bn)n∈ℕ0,(cn)n∈ℕ0,(dn)n ...
Hamida Hamioud, Imane Dekkar, Nouressadat Touafek   +2 more
doaj   +1 more source

Fibonacci-Like Sequences and Generalized Pascal's Triangles

, 2014
Triangoli di Pascal generalizzati, e relazioni con le sequenze di fibonacciThe properties pertaining to diagonals of generalized Pascal's tri- angles are studied.
VINCENZI, Giovanni, SIANI, SERENA
core  

Periodic and quasi-periodic one-dimensional phononic crystal biosensor: a comprehensive study for optimum sensor design. [PDF]

RSC Adv, 2023
Almawgani AHM, Fathy HM, Elsayed HA, Ali GA, Irfan M, Mehaney A.   +5 more
europepmc   +1 more source

Image Encryption Using Quantum 3D Mobius Scrambling and 3D Hyper-Chaotic Henon Map. [PDF]

Entropy (Basel), 2023
Wang L, Ran Q, Ding J.
europepmc   +1 more source

Generalized Gaussian Fibonacci numbers and sums by matrix methods

, 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence.
Aşcı, Mustafa, Lee, G.Y.
core  

Phased Tilings and Generalized Fibonacci Identities

, 2000
Fibonacci numbers arise in the solution of many combinatorial problems. They count the number of binary sequences with no consecutive zeros, the number of sequences of 1\u27s and 2\u27s which sum to a given number, and the number of independent sets of a
Benjamin, Arthur T., Su, Francis E., Quinn, Jennifer J.   +2 more
core  

A Comprehensive Survey of Dual Generalized Complex Fibonacci Numbers

, 2020
The aim of this paper is to develop dual-generalized complex Fibonacci numbers, special type of Horadam sequence. Moreover, the general recurrence relations of dual-generalized complex Fibonacci and Lucas numbers are obtained.
Şentürk, Gülsüm Yeliz, Gürses, Nurten, Yüce, Salim   +2 more
core  

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

GENERALIZED FIBONACCI SEQUENCES

Demonstratio Mathematica, 1981
openaire   +2 more sources