| 广义的k阶Fibonacci-Jacobsthal序列及其性质 |
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| 引用本文： | 崔丽雯,杨胜良.广义的k阶Fibonacci-Jacobsthal序列及其性质[J].纯粹数学与应用数学,2011,27(6):819-824,828. |
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| 作者姓名： | 崔丽雯 杨胜良 |
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| 作者单位： | 兰州理工大学数学系,甘肃兰州,730050 |
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| 摘 要： | 定义了一类广义的k阶Fibonacci-Jacobsthal序列,并给出了第四个初值条件.借助矩阵的方法得到了Jacobsthal序列与Jacobsthal-Lucas序列的关系,广义k阶Fibonacci-Jacobsthal序列与Jacobsthal序列,Fibonacci序列的关系,同时给出了k阶Fibonacc...
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| 关 键 词： | 广义k阶Fibonacci-Jacobsthal序列 Fibonacci序列 Jacobsthal序列 发生函数 |
The generalized order-k Fibonacci-Jacobsthal sequence and its properties |
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| CUI Li-wen,YANG Sheng-liang.The generalized order-k Fibonacci-Jacobsthal sequence and its properties[J].Pure and Applied Mathematics,2011,27(6):819-824,828. |
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| Authors: | CUI Li-wen YANG Sheng-liang |
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| Institution: | (Department of Mathematics,Lanzhou University of Technology,Lanzhou 730050,China) |
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| Abstract: | In this paper,we define a new family of generalized order-k Fibonacci-Jacobsthal sequences and give the forth boundary condition,then we derive the relations between Jacobsthal sequence and Jacobsthal-Lucas sequence by using matrix methods.Further,we consider order-k Fibonacci-Jacobsthal sequences and the usual Fibonacci and Jacobsthal recurrences,also we present some properties of the generalized order-k F-J sequences. |
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| Keywords: | generalized order-k F-J sequence Fibonacci sequence Jacobsthal sequence generating function |
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