On the Natural Density of Sets Related to Generalized Fibonacci Numbers of Order r

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018556" target="_blank" >RIV/62690094:18470/21:50018556 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2075-1680/10/3/144" target="_blank" >https://www.mdpi.com/2075-1680/10/3/144</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms10030144" target="_blank" >10.3390/axioms10030144</a>

Result language

angličtina

Original language name

On the Natural Density of Sets Related to Generalized Fibonacci Numbers of Order r

Original language description

For r &gt;= 2 and a &gt;= 1 integers, let (t(n)((r,a)))(n &gt;= 1) be the sequence of the (r,a)-generalized Fibonacci numbers which is defined by the recurrence t(n)((r,a))=t(n-1)((r,a))+ . . .+t(n-r)((r,a)) for n&gt;r, with initial values t(i)((r,a))=1, for all i is an element of[1,r-1] and t(r)((r,a))=a. In this paper, we shall prove (in particular) that, for any given r &gt;= 2, there exists a positive proportion of positive integers which can not be written as t(n)((r,a)) for any (n,a)is an element of Z(&gt;= r+2)xZ(&gt;1).

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

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

Name of the periodical

Axioms

ISSN

2075-1680

e-ISSN

—

Volume of the periodical

10

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

6

Pages from-to

"Article Number: 144"

UT code for WoS article

000699084600001

EID of the result in the Scopus database

2-s2.0-85113402613