IJPAM: Volume 102, No. 3 (2015)

ON A SEQUENCE OF TRIDIAGONAL MATRICES WHOSE
DETERMINANTS ARE FIBONACCI NUMBERS $F_{n+1}$

Pavel Trojovský
Department of Mathematics
Faculty of Science
University of Hradec Králové
Rokitanského 62
50003 Hradec Králové, CZECH REPUBLIC


Abstract. In this paper, we generalize two previous individual results on connection special tridiagonal matrices to Fibonacci numbers, as we found a sequence of tridiagonal matrices which are equal to Fibonacci numbers.

Received: April 3, 2015

AMS Subject Classification: 11C20, 65F40, 15A15

Key Words and Phrases: Fibonacci number, tridiagonal matrix, determinant, recurrence

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DOI: 10.12732/ijpam.v102i3.10 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 3
Pages: 527 - 532


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