Generalized balancing and balancing-Lucas numbers

DOI10.22199/ISSN.0717-6279-5712MaRDI QIDQ6586862

Ala'a Al-Kateeb, Hasan Al-Zoubi

Publication date: 13 August 2024

Published in: Proyecciones (Search for Journal in Brave)

zbMATH Keywords

generating functionsbalancing numbersBinet formulageneralized balancing numbersbalancing-Lucas numbersgeneralized balancing-Lucas numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The Diophantine equation \(8x^2-y^2+8x(1+t)+(2t+1)^2=0\) and \(t\)-balancing numbers
• On the Fibonacci \(k\)-numbers
• Some fascinating properties of balancing numbers
• Arithmetic Functions of Balancing Numbers
• On the properties of k-balancing and k-Lucas-balancing numbers
• A Generalization of Jacobsthal and Jacobsthal-Lucas numbers

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