| 基于杨辉三角数性质的高位数(11…1)_m~n计算 |
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| 引用本文： | 邓海云,刘辉,李迪,熊良林. 基于杨辉三角数性质的高位数(11…1)_m~n计算[J]. 云南师范大学学报(自然科学版), 2013, 0(4): 37-41 |
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| 作者姓名： | 邓海云 刘辉 李迪 熊良林 |
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| 作者单位： | 云南民族大学数学与计算机科学学院,云南昆明650500 |
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| 基金项目： | 国家自然科学基金资助项目（11126305）;云南省自然科学基金资助项目（2011FZ172）;云南民族大学校内青年基金资助项目（11QN07）. |
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| 摘 要： | 研究了高位数(11…1)mn的计算,首先由二项式系数展开的杨辉三角数推导多项式(1+x+x2+…+xm)n系数的类杨辉三角数性质,然后由类杨辉三角数性质给出了(11…1)mn的计算规律,同时并将其推广于(xy)2.(11)2n的计算.
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| 关 键 词： | 多项式系数 杨辉三角 计算 |
The Calculation of High Number Based on the Properties of Yang Hui Triangle Number |
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| DENG Hai-yun,LIU Hui,LI Di,XIONG Liang-lin. The Calculation of High Number Based on the Properties of Yang Hui Triangle Number[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2013, 0(4): 37-41 |
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| Authors: | DENG Hai-yun LIU Hui LI Di XIONG Liang-lin |
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| Affiliation: | DENG Hai-yun, LIU Hui,LI Di, XlONG Liang-lin (School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650500, China) |
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| Abstract: | This paper studied the calculation of high number. Firstly,the properties of class Yang hui triangle number of polynomial coefficients was derived by Yang hui triangle number of the binomial coefficients. Then, the calculation rules were given by the properties of class Yang hui triangle number. At the same time,the calculation of other high number was further extended. |
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| Keywords: | Polynomial coefficients Yang hui triangle Calculation |
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