四阶Fibonacci数列的通项及性质

General term and property of fourth order Fibonacci sequence

著名的二阶Fibonacci数列有许多通项表达式和性质。文中运用矩阵方法,对四阶Fibonacci数列进行了比较深入的研究,求得了四阶Fibonacci数列的3个通项表达式,并得到了一些与Fibonacci数列相似的性质。

There are several general expressions for the famous Fibonacci sequence. The matrix method was used for an intensive research on fourth order Fibonacci sequence to acquire three representations of the general term formula of fourth order Fibonacci sequence and its associated similar properties such as Fibonacci sequence.