一个关于Fibonacci数的猜想的证明

A Proof about the Guess of Fibonacci Number

对于任意k(k≥5)个连续Fibonacci数之间的全方位关系,洛阳师专的刘元宗先生进行了深入的探讨,并且在美国Mr.A.DiDomenico教授证明的五个连续Fibonacci数的几个公式和文[1]、[2]推广的基础上,经过实际考察提出了一个猜想,但苦于无法进行严格证明,而本文就是其猜想正确性的一个严格证明.

Liu Yuanzong in LuoYang Normal Institute has done deep research into all-round relationship among the free k (k 5) continuous Fibonacci numbers. And on the basis of several formulas of five continuous Fibonacci numbers proved by American Professor A. DiDomenico and spreeding of Article[l],[2], he raised a guess after practical research, but it is too difficult for him to require strict proof. And this paper is just a strict proof of the exactness of the guess.