On \(k\)-Pell numbers close to power of 2

DOI10.15446/RECOLMA.V58N1.117434MaRDI QIDQ6667496

Alain S. Togbé, Mohamadou Bachabi

Publication date: 20 January 2025

Published in: Revista Colombiana de Matemáticas (Search for Journal in Brave)

zbMATH Keywords

linear forms in logarithmsreduction methodDiophantine equations\(k\)-Pell numbers

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
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• Common terms of \(k\)-pell numbers and Padovan or Perrin numbers
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• Powers of two in generalized Fibonacci sequences
• On a generalization of the Pell sequence
• k−Fibonacci numbers close to a power of 2
• Repdigits in generalized Pell sequences
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• The \(k\)-generalized Lucas numbers close to a power of 2

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