| 关于Smarandache三角形数的下部及上部数列 |
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| 引用本文： | 黄炜. 关于Smarandache三角形数的下部及上部数列[J]. 宝鸡文理学院学报(自然科学版), 2011, 31(1): 23-26 |
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| 作者姓名： | 黄炜 |
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| 作者单位： | 宝鸡职业技术学院,基础部,陕西,宝鸡,721013 |
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| 基金项目： | 国家自然科学基金项目，陕西省自然科学基金项目 |
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| 摘 要： | 目的研究Smarandache三角形数及其数列的性质。方法利用初等方法和解析方法对其进行研究。结果研究了三角形数的分部序列的算术平均值及几何平均值的极限问题,获得了这些数列的渐近公式。结论发展了F.Smarandache教授在《Only Problems,Not Solution》一书(Xiquan Publishing House,1993)中涉及的相关研究工作。
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| 关 键 词： | 三角形数的上部序列 三角形数的下部序列 均值 渐近公式 |
On inferior and superior partial sequences of the triangular numbers |
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| HUANG Wei. On inferior and superior partial sequences of the triangular numbers[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2011, 31(1): 23-26 |
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| Authors: | HUANG Wei |
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| Affiliation: | HUANG Wei(Department of Basic,Baoji Vocational and Technical College,Baoji 721013,Shaanxi,China) |
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| Abstract: | Aim To study the properties of triangular numbers and their partial sequences in Only Problems,Not Solution,which was written by Professor F.Smarandache,a Romanian-American number theory expert and it was published by Xiquan Publishing House in 1993.Methods The elementary method and analytic method are adopted to discuss the aforesaid aim.Results By discussing the limit problem of the arithmetic mean and the geometric mean of several partial sequences of triangle numbers,the asymptotic formula of these sequ... |
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| Keywords: | superior partial sequence of triangular numbers inferior partial sequence of triangular numbers mean value asymptotic formula |
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