Results 91 to 100 of about 4,398 (223)
On the bounds for the spectral norms of geometric circulant matrices
Journal of Inequalities and Applications, 2016 In this paper, we define a geometric circulant matrix whose entries are the generalized Fibonacci numbers and hyperharmonic Fibonacci numbers. Then we give upper and lower bounds for the spectral norms of these matrices.
Can Kızılateş, Naim Tuglu
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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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Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]
Notes on Number Theory and Discrete MathematicsWe 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 +1 more
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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
The role of spreadsheets in an investigation of Fibonacci numbers
, 2013 We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising ...
Baker, John, Sugden, Stephen John
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Closed forms for certain fibonacci type sums that involve second order products [PDF]
, 2017 In this paper, we present closed forms for certain finite sums in which the summand is a product of generalized Fibonacci numbers. We present our results in the form of six theorems that feature a generalized Fibonacci sequence {Wn}, and an accompanying ...
Melham, RS
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Variants of the Filbert Matrix
, 2013 A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner.
Kılıç, Emrah, Prodinger, Helmut
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As formas e os números da natureza [PDF]
, 2004 TCC (graduação) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Curso de Matemática.Este trabalho trata de uma pesquisa intitulada: As formas e os números da natureza.O estudo mostrou que a seqüência de Fibonacci está ...
Wilberstaedt, Giorgio
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On Gaussian Leonardo numbers [PDF]
Contributions to Mathematics, 2023 Dursun Taşcı
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Generalized Fibonacci Numbers and Music
, 2018 Mathematics and music have well documented historical connections. Just as the ordinary Fibonacci numbers have links with the golden ratio, this paper considers generalized Fibonacci numbers developed from generalizations of the golden ratio.
Robert van Gend +5 more
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