IJPAM: Volume 107, No. 4 (2016)
ALTERNATING PAIRS OF AND ON THE DIAGONAL
CONNECTED WITH FIBONACCI NUMBERS
Department of Mathematics
University of Hradec Králové
50003 Hradec Králové, CZECH REPUBLIC
Abstract. We will concentrate on some special tridiagonal matrices connected with Fibonacci numbers. In the previous paper we generalized one of the results in Strang's book, as we derived that determinants of some tridiagonal matrices with alternating and on the diagonal or the superdiagonal are connected with Fibonacci numbers. This paper is devoted to a generalization of that paper, we show determinants of tridiagonal matrices with alternating pairs of and on the diagonal are related to Fibonacci numbers too.
Received: February 7, 2016
AMS Subject Classification: 11B39, 11B36, 11A07
Key Words and Phrases: tridiagonal matrix, recurrence, Fibonacci number, determinant
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DOI: 10.12732/ijpam.v107i4.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 903 - 908
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