关于n进制中数字立方和函数均值的计算

On Average Computation of the Base n Digital Cube Sum Function

主要研究了n进制中数字立方和函数均值的计算问题。采用了归纳递推猜测和数字归纳法等方法,得出了n进制中数字立方和函数均值的计算的精确计算公式,解决了文献[1]中的一个数论难题,这对于自然数列性质的研究有一定的推动作用。

This article was studied the average computation problem of the base n digital cube sum function,the methods of recursion, induction, guessed and mathematical induction were used, and reached an accuracy computing formula of digital cube sum function in base n, so one question of paper[1] was solved ,and this will have a center impetus function to the later research.