Results 1 to 10 of about 1,455 (220)

Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits

, 2021
See the abstract in the attached pdf.
Rayaguru, Sai Gopal, Panda, Gopal Krishna   +1 more
openaire   +3 more sources

Some Congruences for Balancing and Lucas-Balancing Numbers and Their Applications

Integers, 2014
See the abstract in the attached pdf.
openaire   +4 more sources

Almost repdigits in balancing and Lucas-balancing sequences [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits.
Manasi K. Sahukar, Hussain Basha
doaj   +1 more source

On the Balancing-bilinear system of difference equations: solutions via some number sequences and global stability

Miskolc Mathematical Notes
In the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj   +1 more source

On the properties of k-balancing and k-Lucas-balancing numbers

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2017
The k-Lucas-balancing numbers are obtained from a special sequence of squares of k-balancing numbers in a natural form. In this paper, we will study some properties of k-Lucas-balancing numbers and establish relationship between these numbers and k-balancing numbers.
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Factorizations of negatively subscripted balancing and Lucas-balancing numbers

Boletim da Sociedade Paranaense de Matemática, 2013
In this paper, we  find some tridigonal matrices whose determinant and permanent are equal to the negatively subscripted balancing and Lucas- balancing numbers. Also using the First and second kind of Chebyshev polynomials, we obtain the factorization of these numbers.  
openaire   +4 more sources

TRIGONOMETRIC-TYPE IDENTITIES AND THE PARITY OF BALANCING AND LUCAS-BALANCING NUMBERS [PDF]

TNU Journal of Science and Technology, 2021
Các số cân bằng n được định nghĩa như là nghiệm của phương trình Diophantus 1 + 2 + · · · + (n − 1) = (n + 1) + · · · + (n + r), trong đó r được gọi là hệ số cân bằng ứng với số cân bằng n. Tương tự như vậy, n là một số đối cân bằng với hệ số đối cân bằng r nếu 1 + 2 + · · · + n = (n + 1) + · · · + (n + r).
openaire   +1 more source

Balancing and Lucas-Balancing Numbers as the Difference of Two Repdigits

13 pages.
Mohapatra, Monalisa, Bhoi, Pritam Kumar, Panda, Gopal Krishna   +2 more
openaire   +4 more sources

Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers

Annales Mathematicae Silesianae
A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
Chimpanzo J., Otero-Espinar M.V., Borges A., Vasco P., Catarino P.   +4 more
doaj   +1 more source

Bidimensional extensions of balancing and Lucas-balancing numbers

Journal of Discrete Mathematical Sciences & Cryptography
In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.
Chimpanzo, J., Catarino, Paula, Vasco, Paulo, Borges, Anabela   +3 more
openaire   +2 more sources