Narayana numbers as sums of two base b repdigits

DOI10.12697/ACUTM.2022.26.12OpenAlexW4310147412MaRDI QIDQ5058294

Prasanta Kumar Ray, Bijan Kumar Patel, K. Bhoi

Publication date: 20 December 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2022.26.12

zbMATH Keywords

linear forms in logarithmsreduction methodNarayana numbersrepdigits

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Uses Software

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Cites Work

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• Lucas numbers as sums of two repdigits
• Balancing numbers which are concatenation of two repdigits
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Pell and Pell-Lucas numbers as sums of two repdigits
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Repdigits as products of consecutive balancing or Lucas-balancing numbers
• Repdigits in Narayana's Cows Sequence and their Consequences

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