On the k-th Mean Value of Digits Summation in Base 10

作     者：Zhibin Ren Department of Computer and Science Weinan Teachers University Weinan shaanxi 714000,P.R.China Rong Shan 

会议名称：《2010 3rd IEEE International Conference on Computer Science and Information Technology—ICCSIT 2010》

会议日期：2010年

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the Natural Science Foundation of Shaanxi Province(No09JK430) 

关 键 词：F.Smarandache Sum of base 10 digits Stirling numbers 

摘      要：Let m be any non-negetive integer,b(m) denotes the summation of base 10 digits of *** any natrual x,and arbitrary fixed exponen k∈N let△κ(x))=Σb(m).The main purpose of this paper is to study the calculating problem of△k(x)),and use combinational methods to deduce some exact formulas for it,which related the Stirling numbers.