关于Lucas函数的三次均值计算

On Lucas Base and Its Third Power Mean Value

研究了Lucas函数的三次均值计算问题,采用了递推,归纳,猜想等方法,给出一个精确的计算公式:Ar(N)=∑n<N(a^r(n)(r=1,2,3).)

With the method of recursion, conduction and conjecture to study the calculation of the 3-th mean value of Lucas function, the precise formula Ar（N）=∑n n〈N α′（n）（r=1,2,3） is got.