| Fibonacci序列{F_(kn r)}模F_n~2的同余式 |
| |
| 作者单位： | 湛江师范学院数学与计算机科学学院 |
| |
| 摘 要： | 利用Fibonacci序列的定义及基本性质得到了Fibonacci序列{F_(kn)}模F_n~2的同余式和序列{F_(kn r)}的递归关系,然后归纳得出了{F_(kn r)}模F_n~2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 F_(kn r) mod F_n~2 |
| |
| QI Chun-Yan TAN Dong-di. Congruences Involving F_(kn r) mod F_n~2[J]. Journal of Neijiang Teachers College, 2008, 0(10) |
| |
| Authors: | QI Chun-Yan TAN Dong-di |
| |
| Abstract: | Based on the definition and basic properties of Fibonacci sequence,a recurrecce relation between Congruence of F_(kn) mod F_n~2 and F_(kn 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 F_(kn r) rood F_n~2 is obtained,which has been proved to be right. |
| |
| Keywords: | Fibonacci numbers congruence property mathematical induction |
| 本文献已被 CNKI 等数据库收录！ |
