Results 41 to 50 of about 1,995,314 (144)

Higher-order balancing numbers: new sequences, recurrence relations, generating functions and identities

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, we study a novel extension of the classic balancing numbers, referred to as the higher-order balancing numbers and denoted by. This sequence is analogous to the higher-order Fibonacci numbers and follows the same recurrence relation as ...
K. Prasad, Indubala, M. Kumari
doaj   +1 more source

-balancers and -balancing numbers

, 2022
Bu tezde ≥ 1 tam sayısı için balans sayılarının genelleştirilmişi olan -balans sayıları ele alınmış ve -balans sayılarının, -balansırların ve Lucas -balans sayılarının genel terimleri, balans ve Lucas-balans sayılarına bağlı olarak elde edilmiştir ...
Aydın, Samet
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On Some Identities and Symmetric Functions for Balancing Numbers

Journal of New Theory, 2018
In this paper, we derivenew generating functions of the product of balancing numbers, Lucas balancingnumbers and the Chebychev polynomials of the second kind by making use ofuseful properties of the symmetric functions mentioned in the paper.
Ali Boussayoud
doaj  

A Generalization of Gaussian Balancing and Gaussian Balancing-Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas-balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties.
T. Al-Asoully, A. Al-Kateeb
doaj   +1 more source

Generalized Balancing and Balancing-Lucas numbers

In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility ...
Al-Zoubi, Hasan, Al-Kateeb, Alaa
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Hybrid numbers with balancing and Lucas balancing hybrid number coefficients

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
In this note, we made a connection between hybrid numbers and hybrid balancing, and hybrid Lucas balancing number. Initially, we obtained for these new number recurrence relation, some important relations among new numbers, and Binet's like formula.
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
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K- Almost balancing numbers

, 2021
In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k ...

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Lucas factoriangular numbers [PDF]

, 2020
summary:We show that the only Lucas numbers which are factoriangular are $1$ and $2$
Luca, Florian, Togbé, Alain, Kafle, Bir
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NEW IDENTITIES FOR THE COMMON FACTORS OF BALANCING AND LUCAS-BALANCING NUMBERS [PDF]

International Journal of Pure and Apllied Mathematics, 2013
Balancing numbers n and balancers r are originally defined as the solution of the Diophantine equation 1 + 2 + ··· + (n − 1) = (n + 1) + (n + 2) + ··· + (n + r). If n is a balancing number, then 8n 2 + 1 is a perfect square. Further, If n is a balancing number then the positive square root of 8n 2 + 1 is called a Lucas-balancing number.
openaire   +1 more source

SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS

, 2021
In this work we deduce some new algebraic relations on balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers. Also we formulate the sums of balancing, Pell and Pell-Lucas numbers in terms of balancing numbers.
Gozeri, Gül, Ozkoc, Arzu, Tekcan, Ahmet
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