SOLUTIONS OF THE PELL EQUATION x2 - (a2+2a) y2 = N VIA GENERALIZED FIBONACCI AND LUCAS NUMBERS

被引：0

作者：

Peker, Bilge ^{[1
]}

Senay, Hasan ^{[2
]}

机构：

[1] Necmettin Erbakan Univ, Ahmet Kelesoglu Educ Fac, Dept Math Educ, Konya, Turkey

[2] Mevlana Univ, Fac Educ, Konya, Turkey

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 04期

关键词：

Diophantine equations; Pell equations; continued fraction; integer; solutions; generalized Fibonacci and Lucas sequences;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this study, we find continued fraction expansion of Aid when d = a(2) + 2a where a is positive integer. We consider the integer solutions of the Pell equation x(2) - (a(2) + 2a) y(2) = N when N is an element of {+/-1, +/-4}. We formulate the n-th solution (x(n), y(n)) by using the continued fraction expansion. We also formulate the n-th solution (x(n), y(n)) via the generalized Fibonacci and Lucas sequences.

引用

页码：721 / 726

页数：6