| 一类广义的k-Jacobsthal序列 |
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| 引用本文： | 杨胜良,崔丽雯.一类广义的k-Jacobsthal序列[J].兰州理工大学学报,2012,38(2):124-127. |
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| 作者姓名： | 杨胜良 崔丽雯 |
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| 作者单位： | 兰州理工大学 理学院,甘肃兰州,730050 |
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| 摘 要： | 利用Binet公式定义一类新的广义k-Jacobsthal序列,建立普通的Jacobsthal序列与广义k-Jacobsthal序列之间的关系,并得到广义2-Jacobsthal序列的递推关系式、发生函数以及普通Jacobsthal序列与Jacobsthal-Lucas序列之间的一些恒等式.
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| 关 键 词： | 广义k-Jacobsthal序列 Jacobsthal序列 发生函数 递推关系 |
A class of generalized k-Jacobsthal sequences |
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| YANG Sheng-liang
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CUI Li-wen.A class of generalized k-Jacobsthal sequences[J].Journal of Lanzhou University of Technology,2012,38(2):124-127. |
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| Authors: | YANG Sheng-liang CUI Li-wen |
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| Institution: | (School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China) |
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| Abstract: | A class of new generalized k-Jacobsthal sequences was defined and some relations between ordinary Jacobsthal sequences and k-Jacobsthal sequences was established.And the recursive relations,the generating function,and some identical relations between ordinary Jacobsthal sequences and Jacobsthal-Lucas sequences were obtained for the generalized 2-Jacobsthal sequences. |
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| Keywords: | generalized k-Jacobsthal sequence Jacobsthal sequence generating function recurrence relation |
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