IJPAM: Volume 105, No. 4 (2015)

ON A SEQUENCE OF TRIDIAGONAL MATRICES, WHOSE
PERMANENTS ARE RELATED TO FIBONACCI
AND LUCAS NUMBERS

Ivana Matoušova$^1$, Pavel Trojovský$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
University of Hradec Králové
Rokitanského 62
50003 Hradec Králové, CZECH REPUBLIC


Abstract. In this paper, we generalize result on connection permanents of special tridiagonal matrices with Fibonacci numbers, as we show that more general sequences of tridiagonal matrices is related to the sequence of Fibonacci numbers.

Received: September 4, 2015

AMS Subject Classification: 11A51, 11A07, 11Y11

Key Words and Phrases: recurrence, Fibonacci number, Lucas number, tridiagonal matrix, permanent

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DOI: 10.12732/ijpam.v105i4.11 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: 105
Issue: 4
Pages: 715 - 721


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