On the properties of k-balancing and k-Lucas-balancing numbers

DOI10.12697/ACUTM.2017.21.18zbMath1430.11027OpenAlexW2779875678MaRDI QIDQ4638298

Prasanta Kumar Ray

Publication date: 4 May 2018

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2017.21.18

zbMATH Keywords

balancing numbers\(k\)-balancing numbersLucas-balancing numbers\(k\)-Lucas-balancing numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Two generalizations of dual-complex Lucas-balancing numbers ⋮ Some properties of \(r\)-circulant matrices with \(k\)-balancing and \(k\)-Lucas balancing numbers ⋮ Identities concerning \(k\)-balancing and \(k\)-Lucas-balancing numbers of arithmetic indexes

Cites Work

• Generalized balancing numbers
• Balancing polynomials and their derivatives
• Balancing with binomial coefficients
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