The Smarandache kn-digital sequence and its mean value properties

For any positive integer 1k≤9,the sequences {a(k,n)} is called the Smarandache kn-digital sequence,if the digital of a(k,n) can be partitioned into two groups such that the second is k times bigger than the first.For example,{a(3,n)}={13,26,39,412,515,…} is called the Smarandache 3n-digital sequence.One kind mean value of the Smarandache kn-digital sequence is studied by the elementary and combinational method,and severel interesting asymptotic formulas are given.