关于二项式系数与Fibonacci数奇次幂的恒等式

An identity on the binomial coefficients and the odd powers of fibonacci numbers

利用初等数论方法并结合Fibonacci数和组合数的性质,研究了二项式系数与Fibonacci数任意奇次幂之间的恒等关系并给出证明,然后在此基础上推广了前人的研究成果。

Using methods of elementary number theory and combining the properties of Fibonacci numbers and combination numbers,the identity relationship between odd powers of Fibonacci numbers and binomial coefficients is obtained and the previous results are improved.