A Diophantine equation in k-Fibonacci numbers and repdigits
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901Y10" target="_blank" >RIV/61988987:17310/18:A1901Y10 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/cm7149-6-2017" target="_blank" >http://dx.doi.org/10.4064/cm7149-6-2017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/cm7149-6-2017" target="_blank" >10.4064/cm7149-6-2017</a>
Alternative languages
Result language
angličtina
Original language name
A Diophantine equation in k-Fibonacci numbers and repdigits
Original language description
The k-generalized Fibonacci sequence {F-n((k))}(n) starts with the k values 0,... , 0,1 and each term afterwards is the sum of the k preceding terms. We study which members of this sequence are sums of two repdigts, extending a result of Diaz and Luca (2011) regarding Fibonacci numbers with this property.
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
<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
COLLOQUIUM MATHEMATICUM
ISSN
0010-1354
e-ISSN
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Volume of the periodical
152
Issue of the periodical within the volume
2
Country of publishing house
PL - POLAND
Number of pages
17
Pages from-to
299-315
UT code for WoS article
000433055000009
EID of the result in the Scopus database
2-s2.0-85046072000