| 与Fibonacci数列有关的数列推广 |
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| 引用本文： | 刘金霞.与Fibonacci数列有关的数列推广[J].河西学院学报,2013(5):46-52. |
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| 作者姓名： | 刘金霞 |
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| 作者单位： | 河西学院数学与统计学院,甘肃张掖734000 |
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| 摘 要： | 本文将Fibonacci数列的递推公式F=Fn-1＋Fn-2改为an=an-1＋an-3＋an-4，并改变其部分项得到一系列新数列，并研究了这些新数列与Fibonacci数列之间的关系．
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| 关 键 词： | Fibonacci数列 递推公式 部分项 数学归纳法 |
A Generalization of the Sequence Related with the Fibonacci Series |
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| Liu Jin-xia.A Generalization of the Sequence Related with the Fibonacci Series[J].Journal of Hexi University,2013(5):46-52. |
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| Authors: | Liu Jin-xia |
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| Institution: | Liu Jin-xia (School of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000) |
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| Abstract: | The researcher puts the recursive formula and gets a series of new sequence by changing the parts these new series and the Fibonacci sequence. Fn = Fn-1 ＋ Fn-2 of Fibonacci sequence into an= an-1 ＋an-3 ＋an-4, of Fibonacci sequence. We also study the relationship between |
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| Keywords: | Fibonacci series Recursive formula Parts of items Mathematical induction |
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