Repdigits in Narayana's Cows Sequence and their Consequences

zbMath1477.11031arXiv2007.12797MaRDI QIDQ5126290

Pranabesh Das, Sergio Guzmán, Jhon J. Bravo

Publication date: 16 October 2020

Full work available at URL: https://arxiv.org/abs/2007.12797

zbMATH Keywords

reduction methodlinear form in logarithmsNarayana sequence\(b\)-repdigit

Mathematics Subject Classification ID

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

Related Items (3)

Narayana numbers as sums of two base b repdigits ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

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• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Repdigits as sums of four Pell numbers
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Repdigits as sums of two \(k\)-Fibonacci numbers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• A Diophantine equation in $k$-Fibonacci numbers and repdigits
• On factorials expressible as sums of at most three Fibonacci numbers
• Powers of two as sums of two k-Fibonacci numbers
• Repdigits as sums of three Lucas numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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