| Fibonacci序列{Fkn＋r}模F^2n的同余式 |
| |
| 引用本文： | 齐春燕,谭冬娣.Fibonacci序列{Fkn＋r}模F^2n的同余式[J].内江师范学院学报,2008,23(10):24-25. |
| |
| 作者姓名： | 齐春燕 谭冬娣 |
| |
| 作者单位： | 湛江师范学院数学与计算机科学学院,广东湛江,524048 |
| |
| 摘 要： | 利用Fibonacci序列的定义及基本性质得到了Fibonacci序列{Fkn}模F^2n的同余式和序列{Fkn＋r}的递归关系，然后归纳得出了{Fkn＋r）模F^2n的同余式的一般情况，并证明了其正确性．
|
| 关 键 词： | Fibonacci数 同余性质 数学归纳法 |
Congruences Involving Fkn+r mod F2n |
| |
| QI Chun-Yan,TAN Dong-di.Congruences Involving Fkn+r mod F2n[J].Journal of Neijiang Teachers College,2008,23(10):24-25. |
| |
| Authors: | QI Chun-Yan TAN Dong-di |
| |
| Institution: | (School of Mathmatics and Computational Science, Zhanjiang Normal College, Zhanjiang,Guangdong 524048, China) |
| |
| Abstract: | Based on the definition and basic properties of Fibonacci sequence, a recurrecce relation between Congruence of Fkn mod F^2n and Fkn＋r sequence is spotted, and by application of such findings and by means of an inductive approach the general run of things about the congruences of Fkn＋r mod F^2n is obtained, which has been proved to be right. |
| |
| Keywords: | Fibonaeci numbers congruence property mathematical induction |
| 本文献已被 维普 万方数据 等数据库收录！ |
