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Fibonacci factoriangular numbers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F17%3AA1801R6S" target="_blank" >RIV/61988987:17310/17:A1801R6S - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.indag.2017.05.002" target="_blank" >http://dx.doi.org/10.1016/j.indag.2017.05.002</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.indag.2017.05.002" target="_blank" >10.1016/j.indag.2017.05.002</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fibonacci factoriangular numbers

  • Original language description

    Let (F-m)(m)>= 0 be the Fibonacci sequence given by F-0 = 0, F-1 = 1 and Fm+2 = Fm+1 + Fm, for all m >= 0. In Castillo (2015), it is conjectured that 2, 5 and 34 are the only Fibonacci numbers of the form n! + n (n+1)/2, for some positive integer n. In this paper, we confirm the above conjecture.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    INDAGAT MATH NEW SER

  • ISSN

    0019-3577

  • e-ISSN

    1872-6100

  • Volume of the periodical

    28

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

    796-804

  • UT code for WoS article

    000408178000006

  • EID of the result in the Scopus database

    2-s2.0-85020204153