Padovan numbers which are palindromic concatenations of two distinct repdigits

DOI10.1007/s13398-021-01047-xzbMath1468.11049OpenAlexW3157904804MaRDI QIDQ2031845

Mahadi Ddamulira, Taboka P. Chalebgwa

Publication date: 15 June 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01047-x

zbMATH Keywords

linear forms in logarithmsBaker-Davenport reduction methodPadovan numbersrepdigits

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (4)

Multiplicative dependence between Padovan and Perrin numbers ⋮ Padovan and Perrin numbers which are products of two repdigits in base \(b\) ⋮ Generalized Lucas numbers which are concatenations of two repdigits ⋮ On concatenations of Fibonacci and Lucas numbers

Cites Work

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• Generating functions of binary products of \(k\)-Fibonacci and orthogonal polynomials
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Fibonacci numbers which are concatenations of two repdigits

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