PERFECT PELL AND PELL-LUCAS NUMBERS

被引：1

作者：

Bravo, Jhon J. ^{[1
]}

Luca, Florian ^{[2
]}

机构：

[1] Univ Cauca, Dept Matemat, Calle 5 4-70, Popayan, Colombia

[2] Univ Witwatersrand, Sch Math, Private Bag X3, ZA-2050 Johannesburg, South Africa

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2019年 / 56卷 / 04期

关键词：

Perfect numbers; Recurrence sequences; Pell sequences; Pell-Lucas sequences;

D O I：

10.1556/012.2019.56.4.1440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Pell sequence (P-n)(n=0)(infinity) is given by the recurrence P-n = 2P(n) 1+ P-n 2 with initial condition P-0 = 0, P-1 = 1 and its associated Pell-Lucas sequence (Q(n))(n=0)(infinity) is given by the same recurrence relation but with initial condition Q(0) = 2,Q(1) = 2. Here we show that 6 is the only perfect number appearing in these sequences. This paper continues a previous work that searched for perfect numbers in the Fibonacci and Lucas sequences.

引用

页码：381 / 387

页数：7