Repdigits in generalized Pell sequences

DOI10.5817/AM2020-4-249OpenAlexW3097089526MaRDI QIDQ5140382

Jose L. Herrera, Jhon J. Bravo

Publication date: 15 December 2020

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5817/am2020-4-249

zbMATH Keywords

linear forms in logarithmsreduction methodrepdigitsgeneralized Pell numbers

Mathematics Subject Classification ID

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

Related Items (10)

$k$-generalized Pell numbers which are repdigits in base $b$ ⋮ Fermat and Mersenne numbers in \(k\)-Pell sequence ⋮ On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ \(k\)-generalized Pell numbers which are concatenation of two repdigits ⋮ On perfect powers in $k$-generalized Pell sequence ⋮ On perfect powers in \(k\)-generalized Pell-Lucas sequence ⋮ On repdigits which are sums or differences of two \(k\)-Pell numbers ⋮ Common terms of \(k\)-pell numbers and Padovan or Perrin numbers ⋮ Generalization of a theorem of Adegbindin, Luca and Togbé ⋮ \(k\)-Pell numbers as product of two repdigits

Cites Work

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• Repdigits as sums of three Pell numbers
• Repdigits in \(k\)-Lucas sequences
• Repdigits as sums of four Pell numbers
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-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
• On a generalization of the Pell sequence
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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