On Terms of Generalized Fibonacci Sequences which are Powers of their Indexes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F19%3A50015710" target="_blank" >RIV/62690094:18470/19:50015710 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/7/8/700" target="_blank" >https://www.mdpi.com/2227-7390/7/8/700</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math7080700" target="_blank" >10.3390/math7080700</a>
Alternative languages
Result language
angličtina
Original language name
On Terms of Generalized Fibonacci Sequences which are Powers of their Indexes
Original language description
The k-generalized Fibonacci sequence (Fn(k))n (sometimes also called k-bonacci or k-step Fibonacci sequence), with k >= 2, is defined by the values 0,0, horizontal ellipsis ,0,1 of starting k its terms and such way that each term afterwards is the sum of the k preceding terms. This paper is devoted to the proof of the fact that the Diophantine equation Fm(k)=mt, with t>1 and m>k+1, has only solutions F-12((2))=122 and F-9(3)=9(2).
Czech name
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Czech description
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Classification
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
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
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Volume of the periodical
7
Issue of the periodical within the volume
8
Country of publishing house
CH - SWITZERLAND
Number of pages
10
Pages from-to
1-10
UT code for WoS article
000482856500019
EID of the result in the Scopus database
2-s2.0-85070444700