| 摘要: |
| 运用Gel'Fond-Baker方法,证明:对任意确定的正整数k>5,若存在以Fn,Fn+k,Fn+k为边长的Fibonacci三角形,则必有n<k.exp(169.7+2.9k+7ln(k+2)). |
| 关键词: Fibonacci数 Fibonacci三角形 Lucas数 Gel'Fond-Baker方法 上界 |
| DOI： |
| 投稿时间：2004-09-23修订日期：2004-12-28 |
| 基金项目:四川省教育厅自然科学基金资助项目(2004B025)和四川阿坝师专校级科研资助课题(ASB05-06)联合资助。 |
|
| The Upper Bounds about Fibonacci Triangles |
|
He Bo
|
| (Longchang Xiangshi Middle School, Longchang, Sichuan, 642152, China) |
| Abstract: |
| Using Gel'Fond-Baker method,we have proved that if existing a Fibonacci triangle with Fn,Fn+k,Fn+k as its sides with k>5,then n < k·exp(169.7+2.9k+7ln(k+2)). |
| Key words: Fibonacci number Fibonacci triangle Lucas number Gel'Fond-Baker method upper bound |
