| X2+XY-Y2+k=0正整数解的条件 |
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| 引用本文： | 陈冬华.X2+XY-Y2+k=0正整数解的条件[J].佳木斯大学学报,2006,24(4):598-599. |
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| 作者姓名： | 陈冬华 |
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| 作者单位： | 华东交通大学基础科学学院 江西南昌330013 |
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| 摘 要： | 方程X2 XY-Y2 k=0具有Fibonacci数列的正整数解,并且方程X2 XY-Y2 k=0具有Fibonacci数列的正整数解时满足一定约束条件.Lucas数列实际上是一种广义Fibonacci数列.方程X2 X-1=0的正整数解也与Fibonacci数列有关.
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| 关 键 词： | Fibonacci数列 X2 XY-Y2 k=0的正整数解 约束条件 Lucas数列 |
| 文章编号： | 1008-1402（2006）04-0598-02 |
| 收稿时间： | 2006-09-08 |
| 修稿时间： | 2006年9月8日 |
The Conditions for the Positive Integer Solutions of the Equation X2 + XY-Y2 + k = 0 |
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| CHEN Dong-hua.The Conditions for the Positive Integer Solutions of the Equation X2 + XY-Y2 + k = 0[J].Journal of Jiamusi University(Natural Science Edition),2006,24(4):598-599. |
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| Authors: | CHEN Dong-hua |
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| Institution: | East China Jiaotong University, Nanchang 330013, China |
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| Abstract: | The positive integer solutions of Fibonacci sequence and the condition for the positive integer solutions of the equation X~2 XYY~2 k=0 were studied in this paper.Lucas sequence is one of general Fibonacci sequences.The solution of the equation X~2 X-1=0 has something to do with Fibonacci sequences. |
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| Keywords: | Fibonacci sequence the positive integer solutions the constrained condition Lucas sequence |
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