摘要
对于给定的自然数n ,记An(k ,1) 为n的各位数码的k次方和 ,记An(k ,s+1) 为An(k ,s) 各位数码的k次方和 ,则对数列 {An(k ,s) }存在s0 ,当s>s0 时 ,要么An(k,s) 等于某一个常数 ,要么在某几个数之间循环出现 .
For a fixed integer n, let A n (k,1) denote the sum of each digit's k-power of n, and A n (k,s+1) denote the sum of each digit's k-power of A n (k,s) .So ｛A n (k,s) ｝for a sequence. Then there exists an integer S 0,such that as s>s 0,A (n) (k,s) is equals to a constant, or A n (k,s) equal to one of a sequence of integer.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2001年第2期40-41,共2页
Journal of Qufu Normal University(Natural Science)
