On the sum of the reciprocals of k-generalized Fibonacci numbers

被引：1

作者：

Alahmadi, Adel ^{[1
]}

Luca, Florian ^{[1
,2
,3
]}

机构：

[1] King Abdulaziz Univ, Res Grp Algebra Struct & Applicat, POB 1540, Jeddah, Saudi Arabia

[2] Univ Witwatersrand, Sch Maths, 1 Jan Smuts, ZA-2000 Johannesburg, South Africa

[3] Max Plack Inst Math, Bonn, Germany

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2022年 / 30卷 / 01期

关键词：

Linearly recurrent sequences; Primary; 11B39;

D O I：

10.2478/auom-2022-0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we that if {F-n((k))}(n >= 0) denotes the k-generalized Fibonacci sequence then for n >= 2 the closest integer to the reciprocal of Sigma(m) (>=) (n) 1/F-m((k)) is F-n((k)) - F-n-1((k)).

引用

页码：31 / 42

页数：12

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