Fibonacci序列{F_(kn+r)}模F_n^2的同余式  

Congruences Involving F_(kn+r) mod F_n^2

作　　者：齐春燕[1] 谭冬娣[1] 

机构地区：[1]湛江师范学院数学与计算机科学学院,广东湛江524048

出　　处：《内江师范学院学报》2008年第10期24-25,36,共3页Journal of Neijiang Normal University

基　　金：广东省自然科学基金(04011425)

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.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.

关 键 词：FIBONACCI数 同余性质 数学归纳法 

分 类 号：O157[理学—数学]