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On matrices related with Fibonacci and Lucas numbers

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Publication:929419
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DOI10.1016/j.amc.2007.10.060zbMath1143.15014OpenAlexW2095072807MaRDI QIDQ929419

Xudan Fu, Xia Zhou

Publication date: 17 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.060


zbMATH Keywords

Pell numbersgeneralized order-\(k\) Fibonacci numbersorder-\(k\) sequence


Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)


Related Items (3)

k–step Fibonacci sequences and Fibonacci matrices ⋮ \(k\)-step sum and \(m\)-step gap Fibonacci sequence ⋮ On \(k\)-Fibonacci numbers of arithmetic indexes




Cites Work

  • Unnamed Item
  • An application of Fibonacci numbers in matrices.
  • On the order-\(k\) generalized Lucas numbers
  • On determinants of matrices with general Fibonacci numbers entries




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