Results 1 to 10 of about 31,245 (178)

On Types of Distance Fibonacci Numbers Generated by Number Decompositions [PDF]

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
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Altered Numbers of Fibonacci Number Squared

Journal of New Theory, 2023
We investigate two types of altered Fibonacci numbers obtained by adding or subtracting a specific value $\{a\}$ from the square of the $n^{th}$ Fibonacci numbers $G^{(2)}_{F(n)}(a)$ and $H^{(2)}_{F(n)}(a)$.
Emre Kankal, Fikri Köken
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Notes on generalized and extended Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
This paper both extends and generalizes recently published properties which have been developed by many authors for elements of the Leonardo sequence in the context of second-order recursive sequences.
Anthony G. Shannon, Peter J.-S. Shiue, Shen C. Huang   +2 more
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Statistics on restricted Fibonacci words [PDF]

Transactions on Combinatorics, 2021
We study two foremost Mahonian statistics, the major index and the inversion number for a class of binary words called restricted Fibonacci words. The language of restricted Fibonacci words satisfies recurrences which allow for the calculation of the ...
Omer Egecloglu
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Novel Fibonacci and non-Fibonacci structure in the sunflower: results of a citizen science experiment [PDF]

Royal Society Open Science, 2016
This citizen science study evaluates the occurrence of Fibonacci structure in the spirals of sunflower (Helianthus annuus) seedheads. This phenomenon has competing biomathematical explanations, and our core premise is that observation of both Fibonacci ...
Jonathan Swinton, Erinma Ochu,
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A Class of Fibonacci Matrices, Graphs, and Games

Mathematics, 2022
In this paper, we define a class of Fibonacci graphs as graphs whose adjacency matrices are obtained by alternating binary Fibonacci words. We show that Fibonacci graphs are close in size to Turán graphs and that their size-stability tradeoff defined as ...
Valentin E. Brimkov, Reneta P. Barneva
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Odd Fibonacci Stolarsky-3 Mean Labeling of Some Special Graphs

Ratio Mathematica, 2022
Let G be a graph with p vertices and q edges and an injective function  where each  is a odd Fibonacci number and the induced edge labeling  are defined by and all these edge labeling are distinct is called Odd Fibonacci Stolarsky-3 Mean Labeling.
M Sree Vidya, S.S Sandhya
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Hyperbolic Fibonacci Sequence

Universal Journal of Mathematics and Applications, 2019
In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
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Some new properties of hyperbolic k-Fibonacci and k-Lucas octonions [PDF]

Notes on Number Theory and Discrete Mathematics
The aim of this paper is to establish some novel identities for hyperbolic k-Fibonacci octonions and k-Lucas octonions. We prove these properties using the identities of k-Fibonacci and k-Lucas numbers, which we determined previously.
A. D. Godase
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Fibonacci number of the tadpole graph

Electronic Journal of Graph Theory and Applications, 2014
In 1982, Prodinger and Tichy defined the Fibonacci number of a graph G to be the number of independent sets of the graph G. They did so since the Fibonacci number of the path graph Pn is the Fibonacci number F(n+2) and the Fibonacci number of the cycle ...
Joe DeMaio, John Jacobson
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