关于Fibonacci数与Lucas数的恒等式

Some identities involving the Fibonacci numbers and Lucas numbers

利用初等方法对 a1 +a2 +…+am=nUa1 kUa2 k…Uamk型和式进行了讨论 。

The main purpose of this paper is to discuss sum a 1+a 2+...+a m=nU a 1k U a 2k ...U a mk  with elementary method,and give some identities and congruences involving the Fibonacci numbers and the Lucas numbers.