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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50004069" target="_blank" >RIV/62690094:18470/15:50004069 - isvavai.cz</a>
Result on the web
<a href="http://www.ijpam.eu/contents/2015-105-4/11/11.pdf" target="_blank" >http://www.ijpam.eu/contents/2015-105-4/11/11.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12732/ijpam.v105i4.11" target="_blank" >10.12732/ijpam.v105i4.11</a>

Result language
angličtina
Original language name
ON A SEQUENCE OF TRIDIAGONAL MATRICES, WHOSE PERMANENTS ARE RELATED TO FIBONACCI AND LUCAS NUMBERS
Original language description
The Fibonacci sequence (or the sequence of Fibonacci numbers) $% (F_{n})_{ngeq 0}$ is the sequence of positive integers satisfying the recurrence $F_{n+2}=F_{n+1}+F_{n}$ with the initial conditions $F_{0}$ $=0$ and $F_{1}=$ 1. Similarily the Lucas numbers are the sequence of integers $% (L_{n})_{ngeq 0}$ defined by the recurrence relation $L_{n+2}=L_{n+1}+L_{n}$% , with $L_{0}=2$ and $L_{1}=1$. The Fibonacci and Lucas numbers are well-known for possessing many amazing properties 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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