Powers of two as sums of two balancing numbers

DOI10.1007/978-3-031-52969-6_32MaRDI QIDQ6616845

Joel E. Iiams, Julia Peterson, Bruce Dearden, Jeremiah Bartz

Publication date: 9 October 2024

zbMATH Keywords

integer sequencesrecursion relationsbalancing numbers

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)

Cites Work

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• On perfect powers that are sums of two Pell numbers
• Generalized balancing numbers
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• Almost and nearly isosceles Pythagorean triples
• Classes of gap balancing numbers
• The On-Line Encyclopedia of Integer Sequences
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• \(k\)-gap balancing numbers
• The Diophantine equation \(8x^2-y^2+8x(1+t)+(2t+1)^2=0\) and \(t\)-balancing numbers
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Cobalancing numbers and cobalancers
• Almost balancing numbers
• Sequence \(t\)-balancing numbers
• Gap balancing numbers
• Powers of two as sums of two Lucas numbers
• On The diophantine equationFn+F_m=2^a
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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