Fibonacci数列在数论上的应用  

Application of Fibonacci Sequence to Number Theory

作　　者：文伟[1] 

机构地区：[1]茂名职业技术学院,广东茂名525000

出　　处：《和田师范专科学校学报》2008年第6期193-194,共2页Journal of Hotan Normal College

摘　　要：Fibonacci数列(斐波那契数列)起源于兔子繁殖问题,因而也叫兔子数列.这是一个很重要的递推数列,受到了广泛而深入的研究。用归纳法进一步探讨了Fibonacci数列在数论中的应用。Fibonacci sequence, stemming from the rabbit reproducing, is called Rabbit Sequence as well. It＇s a very important recurrence sequence, and has been diffusely and thoroughly studied. By the means of mathematic induction, the essay further studies the application of Fibonacci sequence to number theory.

关 键 词：FIBONACCI数列 FIBONACCI数 数学归纳法 最大公约数 

分 类 号：O156.4[理学—数学] O156[理学—基础数学]