Results 121 to 130 of about 973 (216)

The Binet formula, sums and representations of generalized Fibonacci p-numbers

open access: yes, 2008
In this paper, we consider the generalized Fibonacci p-numbers and then we give the generalized Binet formula, sums, combinatorial representations and generating function of the generalized Fibonacci p-numbers.
Kilic, Emrah, Kılıç, Emrah
core   +1 more source

On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers

open access: yesAnnales Mathematicae Silesianae
In this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
doaj   +1 more source

Extended Wang sum and associated products. [PDF]

open access: yesPLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

On the Usual Fibonacci and Generalized Order-K Pell Numbers

open access: yes, 2008
In this. paper, we give some relations involving the usual Fibonacci and generalized order-k Pell numbers. These relations show that the generalized order-k Pell numbers can be expressed as the summation of the usual Fibonacci numbers.
Kılıç, Emrah
core  

Generalized transformations on ratios of Fibonacci and Lucas numbers

open access: yesJournal of Numerical Analysis and Approximation Theory, 1995
Not available.
Ioan Lazăr, Adrian Mureşan
doaj   +2 more sources

Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers

open access: yes
We considered the properties of generalized Fibonacci and Lucas numbers class. The analogues of well-known Fibonacci identities for generalized numbers are obtained.
Kruchinin, Vladimir V.   +1 more
core  

On Generalized Fibonacci Polynomials and Bernoulli Numbers

open access: yes, 2005
In this paper we use elementary methods to study the relationship between the generalized Fibonacci polynomials and the famous Bernoulli numbers, and give several interesting identities involving ...
Yuankui Ma, Tianping Zhang
core  

Generalized Fibonacci and Lucas numbers of the form kx2 [PDF]

open access: yes, 2015
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Karaatlı, Olcay
core  

GAUSSIAN DUAL FIBONACCI NUMBERS

open access: yes, 2018
In this paper, firstly we defined Gaussian dual number and Gaussian dual Fibonacci numbers later, we obtained two-dimensional recurrence relations and some results regarding Gaussian dual Fibonacci numbers.
Aydin, Fugen Torunbalci, YÜCE, Salim
core  

Generating binomial coefficients in a row of Pascal's triangle from extensions of powers of eleven. [PDF]

open access: yesHeliyon, 2022
Shariful Islam M   +3 more
europepmc   +1 more source

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