【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_n²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_n²的同余式的一般情况,并证明了其正确性.更多还原

【Abstract】 Based on the definition and basic properties of Fibonacci sequence,a recurrecce relation between Congruence of F_kn mod F_n² 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_n² is obtained,which has been proved to be right.更多还原