Padovan numbers which are palindromic concatenations of two distinct repdigits-Reference-Cited by-同舟云学术

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Padovan numbers which are palindromic concatenations of two distinct repdigits

Published:2021-04-24 Issue:3 Volume:115 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:RACSAM

Author:

Chalebgwa Taboka P.^ORCID,Ddamulira Mahadi^ORCID

Abstract

AbstractIn this paper we determine all Padovan numbers that are palindromic concatenations of two distinct repdigits.

Funder

Austrian Science Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13398-021-01047-x.pdf

Reference18 articles.

1. Alahmadi, A., Altassan, A., Luca, F., Shoaib, H.: Fibonacci numbers which are concatenations of two repdigits. Quaest. Math. 44(2), 281–290 (2021). https://doi.org/10.2989/16073606.2019.1686439

2. Banks, W.D., Luca, F.: Concatenations with binary reccurent sequences. J. Integer Seq. 8(5), Art. 05.1.3 (2005)

3. Bednařík, D., Trojovská, E.: Repdigits as product of Fibonacci and Tribonacci numbers. Mathematics 8(10), 1720 (2020). https://doi.org/10.3390/math8101720

4. Boussayoud, A., Boughaba, S., Kerada, M., Araci, S., Acikgoz, M.: Generating functions of binary products of $$k$$–Fibonacci and orthogonal polynomials. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113(3), 2575–2586 (2019). https://doi.org/10.1007/s13398-019-00641-4

5. Bravo, J.J., Luca, F.: On a conjecture about repdigits in $$ k $$-generalized Fibonacci sequences. Publ. Math. Debreceen 82(3–4), 623–639 (2013)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Padovan numbers as difference of two repdigits;Indian Journal of Pure and Applied Mathematics;2023-12-22

2. Multiplicative dependence between Padovan and Perrin numbers;Boletín de la Sociedad Matemática Mexicana;2023-06-26

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