关于n进制中数字平方和函数均值的计算

On Average Computation of the Base n Digital Square Sum Function

研究了n进制中数字平方和函数均值的计算问题.采用了归纳、递推、猜测和数学归纳法等方法,得出了n进制中数字平方之和函数均值的计算的精确的计算公式,解决了一个数论难题,对于自然数列性质的研究有一定的推动作用。

The research was about average computation problem of the base n digital square sum function. The methods of recursion, induction, guessed were used, to obtain an exact computing formula of digital square sum function in the base n , one question was solved, it is very use for research of natural sequence.