Results 21 to 30 of about 1,554,483 (162)

Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]

open access: yes, 2011
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R.   +2 more
core   +1 more source

Some properties of the generalized (p,q)- Fibonacci-Like number

open access: yesMATEC Web of Conferences, 2018
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
doaj   +1 more source

New Fibonacci-type pulsated sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
A new Fibonacci-type sequence from pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
doaj   +1 more source

The cyclic-Fibonacci hybrid sequence in groups [PDF]

open access: yesJournal of Mahani Mathematical Research
The aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence ...
Esra Kırmızı Çetinalp   +2 more
doaj   +1 more source

On the characteristic polynomial of ( k , p ) $(k,p)$ -Fibonacci sequence

open access: yesAdvances in Difference Equations, 2021
Recently, Bednarz introduced a new two-parameter generalization of the Fibonacci sequence, which is called the ( k , p ) $(k,p)$ -Fibonacci sequence and denoted by ( F k , p ( n ) ) n ≥ 0 $(F_{k,p}(n))_{n\geq0}$ .
Pavel Trojovský
doaj   +1 more source

Generalized Fibonacci-like sequence and Fibonacci sequence

open access: yesInternational Journal of Contemporary Mathematical Sciences, 2014
Every term in the Fibonacci Sequence can be determined recursively with the help of initial values F0 = 0, F1 = 1. Similar is the case with Lucas Sequence. In this paper, we study Generalized Fibonacci-Like sequence {Dn} defined by the recurrence relation Dn = Dn-1 + Dn-2, for all n  2 with D0 = 2 and D1 = 1+m, m being a fixed positive integer.
Sanjay Harne   +2 more
openaire   +1 more source

The Fibonacci-Padovan sequences in finite groups [PDF]

open access: yesMaejo International Journal of Science and Technology, 2014
The Fibonacci-Padovan sequence modulo m was studied. Also, the Fibonacci-Padovan orbits of -generator finite groups such that was examined. The Fibonacci-Padovan lengths of the groups , and for , where Z is integer, were then obtained.
Sait Tas, Omur Deveci, Erdal Karaduman
doaj   +1 more source

Note on a Fibonacci parity sequence

open access: yesCryptography and Communications, 2022
Let ftm = 0111010010001... be the analogue of the Thue-Morse sequence in Fibonacci representation. In this note we show how, using the Walnut theorem-prover, to obtain a measure of its complexity, previously studied by Jamet, Popoli, and Stoll. We strengthen one of their theorems and disprove one of their conjectures.
openaire   +3 more sources

On the arrowhead-Fibonacci numbers

open access: yesOpen Mathematics, 2016
In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties.
Gültekin Inci, Deveci Ömür
doaj   +1 more source

Power Fibonacci sequences in quadratic integer modulo m [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
The power Fibonacci sequence in ℤₘ[√δ] is defined as a Fibonacci sequence Fₙ=Fₙ₋₁+Fₙ₋₂ where F₀=1 and F₁=a, such that a∈ℤₘ[√δ] and Fₙ≡aⁿ(mod m), for all n∈ℕ∪{0}. In this paper, we investigated the existence of power Fibonacci sequences in ℤₘ[√δ], and the
Paul Ryan A. Longhas   +3 more
doaj   +1 more source

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