| 广义杨辉三角与Fibonacci数列的一个关系 |
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| 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. |
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| 作者姓名： | 晁晶晶 |
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| 作者单位： | 开封教育学院数学系,河南开封,475001 |
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| 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.
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| 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 |
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| 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. |
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| Authors: | Chao Jingjing |
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| Institution: | Chao Jingjing(Kaifeng Iinstitute Of Education,Kaifeng City,Henan 475001) |
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| 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. |
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| Keywords: | Generalized Yang Hui triangle Fibonacci sequence Formula for the sum |
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