广义的k阶Fibonacci-Jacobsthal序列及其性质  

The generalized order-k Fibonacci-Jacobsthal sequence and its properties

作　　者：崔丽雯[1] 杨胜良[1] 

机构地区：[1]兰州理工大学数学系,甘肃兰州730050

出　　处：《纯粹数学与应用数学》2011年第6期819-824,828,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(1010RJZA049)

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Fibonacci-Jacobsthal序列的一些性质.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.

关 键 词：广义k阶Fibonacci-Jacobsthal序列 FIBONACCI序列 Jacobsthal序列 发生函数 

分 类 号：O157[理学—数学]