Fibonacci and Lucas numbers via the determinants of tridiagonal matrix

Taras Goy
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 1, Pages 103–108
DOI: 10.7546/nntdm.2018.24.1.103-108
Full paper (PDF, 167 Kb)

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Authors and affiliations

Taras Goy
Department of Mathematics and Informatics
Vasyl Stefanyk Precarpathian National University
57 Shevchenko Str., 76018 Ivano-Frankivsk, Ukraine

Abstract

Applying the apparatus of triangular matrices, we proved new recurrence formulas for the Fibonacci and Lucas numbers with even (odd) indices by tridiagonal determinants.

Keywords

• Fibonacci numbers
• Lucas numbers
• Horadam sequence
• Triangular matrix
• Parapermanent of triangular matrix

2010 Mathematics Subject Classification

• 11B39
• 11C20

References

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