| 四阶Fibonacci数列的通项及性质 |
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| 引用本文： | 陈淑贞,鲁仲池.四阶Fibonacci数列的通项及性质[J].海军工程大学学报,2009,21(1). |
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| 作者姓名： | 陈淑贞 鲁仲池 |
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| 作者单位： | 海南师范大学,数学与统计学院,海口,571158 |
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| 基金项目： | 海南省教育厅科研基金 |
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| 摘 要： | 著名的二阶Fibonacci数列有许多通项表达式和性质.文中运用矩阵方法,对四阶Fibonacci数列进行了比较深入的研究,求得了四阶Fibonacci数列的3个通项表达式,并得到了一些与Fibonacci数列相似的性质.
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| 关 键 词： | 四阶Fibonacci数列 通项公式 Cassini公式 矩阵 |
General term and property of fourth order Fibonacci sequence |
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| CHEN Shu-zhen,LU Zhong-chi.General term and property of fourth order Fibonacci sequence[J].Journal of Naval University of Engineering,2009,21(1). |
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| Authors: | CHEN Shu-zhen LU Zhong-chi |
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| Institution: | School of Mathematics and Statistics;Hainan Normal Univ.;Haikou 571158;China |
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| Abstract: | There are several general expressions for the famous Fibonacci sequence.The matrix me-thod was used for an intensive research on fourth order Fibonacci sequence to acquire three representations of the general term formula of fourth order Fibonacci sequence and its associated similar properties such as Fibonacci sequence. |
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| Keywords: | fourth order Fibonacci sequence general term formula Cassini formula matrix |
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