| 广义杨辉三角与Fibonacci数列的一个关系 |
| |
| 引用本文： | 晁晶晶. 广义杨辉三角与Fibonacci数列的一个关系[J]. 首都师范大学学报(自然科学版), 2011, 32(4): 11-13 |
| |
| 作者姓名： | 晁晶晶 |
| |
| 作者单位： | 开封教育学院数学系,河南开封,475001 |
| |
| 摘 要： | Fibonacci数列是一个比较特殊的数列;杨辉三角隐含着许多特殊性质,由一些性质把杨辉三角进行推广就得到广义杨辉三角.将广义杨辉三角与Fibonacci数列结合可以得出以广义杨辉三角中某一行为系数的连续几个Fibonacci数的和的简洁优美的计算公式.
|
| 关 键 词： | 广义杨辉三角 Fibonacci数列 求和公式 |
The relation between generalized Yang Hui triangle and Fibonacci sequence of numbers |
| |
| Chao Jingjing. The relation between generalized Yang Hui triangle and Fibonacci sequence of numbers[J]. Journal of Capital Normal University(Natural Science Edition), 2011, 32(4): 11-13 |
| |
| Authors: | Chao Jingjing |
| |
| Affiliation: | Chao Jingjing(Kaifeng Iinstitute Of Education,Kaifeng City,Henan 475001) |
| |
| Abstract: | Fibonacci sequence of numbers is one special sequence,Yang Hui triangle implies a lot of special qualities,through common features we can get the generalized examples.This paper combines the generalized Yang Hui triangle and Fibonacci sequence together.It draws a simple formula for the sum of several continuous Fibonacci numbers with binomial coefficients for the coefficients of those numbers. |
| |
| Keywords: | Generalized Yang Hui triangle Fibonacci sequence Formula for the sum |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
