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.
出处
《纯粹数学与应用数学》
CSCD
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)
