On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017041" target="_blank" >RIV/62690094:18470/20:50017041 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/8/8/1387" target="_blank" >https://www.mdpi.com/2227-7390/8/8/1387</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math8081387" target="_blank" >10.3390/math8081387</a>

Result language
angličtina
Original language name
On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences
Original language description
In 2008, I. Wloch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set ofnintegers. In this paper, we prove some results about the roots of the characteristic polynomial of this sequence, but we will consider general initial conditions. Since there are currently several types of generalizations of the Pell sequence, it is very difficult for anyone to realize what type of sequence an author really means. Thus, we will call this sequence the generalizedk-distance Tribonacci sequence(T-n((k)))(n >= 0).
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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