| 广义Fibonacci等距子列关于模fm的模数列的周期 |
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| 引用本文： | 于鸿,郜舒竹. 广义Fibonacci等距子列关于模fm的模数列的周期[J]. 首都师范大学学报(自然科学版), 2010, 31(5) |
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| 作者姓名： | 于鸿 郜舒竹 |
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| 作者单位： | 首都师范大学初等教育学院,北京,100048 |
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| 摘 要： | 给出广义Fibonacci等距子列的定义,推导出此类等距子列与Lucas数列的一个关系式,并由此得出其关于熟知的Fibonacci数为模的模数列的周期规律.
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| 关 键 词： | Fibonacci数列 子列 模 周期 |
Period of Equal Length Sub-Sequences in Generalizing Fibonacci Sequence Modulo fm |
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| Yu Hong,Gao Shuzhu. Period of Equal Length Sub-Sequences in Generalizing Fibonacci Sequence Modulo fm[J]. Journal of Capital Normal University(Natural Science Edition), 2010, 31(5) |
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| Authors: | Yu Hong Gao Shuzhu |
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| Affiliation: | Yu Hong Gao Shuzhu(Elementary Education College,Capital Normal University,Beijing 100048,China) |
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| Abstract: | The definition of equal length sub-sequences in generalizing Fibonacci sequence is provided.From a relation of it and Lucas sequence,their pattern of period modulo fibonacci number is obtained. |
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| Keywords: | Fibonacci sequence sub-sequence modulus period. |
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