Results 71 to 80 of about 1,475 (180)

Fibonacci and Telephone Numbers in Extremal Trees

Discussiones Mathematicae Graph Theory, 2018
In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings.
Bednarz Urszula, Włoch Iwona
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Inverse Stereographic Projection of Fibonacci Points onto the Quadric Surfaces

Communications in Advanced Mathematical Sciences
In the present work, the inverse stereographic projection of Fibonacci points onto quadric surfaces of revolution is investigated. The construction of Fibonacci points from Fibonacci numbers, together with the one-to-one and invertible nature of ...
Barış Ateş
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Colored Partitions and the Fibonacci Sequence

Trends in Computational and Applied Mathematics, 2006
We present interesting combinatorial interpretations for the Fibonacci numbers in terms of colored partitions obtained by using finite versions of two identities of the Rogers-Ramanujan type. New formula for the Fibonacci numbers is also given.
J.P.O. Santos, M. Ivkovic
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Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]

Advances in Difference Equations, 2015
In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
openaire   +3 more sources

Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
We find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele, Olamide Esther Salami   +1 more
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On Gaussian Leonardo numbers [PDF]

Contributions to Mathematics, 2023
Dursun Taşcı
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On a problem of Pillai with Fibonacci numbers and powers of 3. [PDF]

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

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
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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
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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.
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