Results 101 to 110 of about 4,398 (223)

On Types of Distance Fibonacci Numbers Generated by Number Decompositions

Journal of Applied Mathematics, 2014
We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the number n we give a sequence of identities for them.
Anetta Szynal-Liana, Andrzej Włoch, Iwona Włoch   +2 more
doaj   +1 more source

On a problem of Pillai with Fibonacci numbers and powers of 3. [PDF]

Bol Soc Mat Mex, 2020
Ddamulira M.
europepmc   +1 more source

On The Generalized Gaussian Fibonacci Numbers.

Ars Comb., 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. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

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 ...
Zirdum, Ivona
core  

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
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  

Generalized Natural Density DF⁡(Fk) of Fibonacci Word

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, k-Fibonacci words, and their combinatorial properties.
Abdullah, D., Hamoud, J.
doaj   +1 more source

Generalized Fibonacci Dynamical Systems

, 2009
In this paper we consider generalizations of dynamical systems that are based on the Fibonacci sequence. We first study stability properties of such systems for both the continuous and discrete–time case.
Balestrino, A, Zini, G., FAGIOLINI, Adriano   +2 more
core  

Aliquots sums of Fibonacci numbers [PDF]

, 2010
Here, we investigate the Fibonacci numbers whose sum of aliquot divisors is also a Fibonacci number (the prime Fibonacci numbers have this ...
Luca, Florian, Stănică, Pantelimon
core  

On a Matrix Formulation of the Sequence of Bi-Periodic Fibonacci Numbers

Axioms
In this study, we investigate some new properties of the sequence of bi-periodic Fibonacci numbers with arbitrary initial conditions, through an approach that combines the matrix aspect and the fundamental Fibonacci system.
Mustapha Rachidi, Elen V. P. Spreafico, Paula Catarino   +2 more
doaj   +1 more source