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
收藏
页码：381 / 387
页数：7
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