一类广义Fibonacci数列递归关系的推导

The Derivation of a Recursive Relation of a Generalized Fibonacci Numbers

Fibonacci数列有许多特殊的性质,通过对一类广义Fibonacci数列进行了研究,对该类广义Fibonacci数列所对应的物理属性进行了描述,分别推导出Fibonacci Log数列和Fibonacci LogP数列的递归表达式,求解出Log数列的母函数,利用特征方程求解出在特殊情况下的Log数列的闭形式.

Fibonacci numbers has many special properties. In this paper, a generalized Fibonacci numbers studied. The physical attributes of this king of generalized Fibonacci numbers are described, and the recursive expressions of Fibonacci Log numbers and LogP numbers are derivatized. Master function of Log numbers is solved, and the close form of Log numbers is obtained using characteristic t function in special situation.