广义Fibonacci数列

Generalized Fibonacci Sequence

本又讨论广义Fibonacci数列Fn+1=aFn＋bFn-1（a，b，为自然数，且F0=0,F1=1），以及更一般的数列Un＝a1Un－1＋a2Un－2＋…＋akUn－k（a1，a2，…ak为非负常数，ak≠0）的通项，相邻两项之比率的极限，和一些整除性质。

In this paper,We discuss the Generalized Fibonacci Sequerce F n+1 =aF n+bF n-1  with a,b∈N,F 0=0,F 1=1,and the general terms of the Sequence U n=a 1U n-1 +…+a kU n-k ,with the monnegative constant a 1,a 2,…,a k≠0more generally,the limits of the two neighbouring terms' vatio and some properties of the exact divisions.