The number of smallest parts of Partitions of n

George E Andrews derived formula for the number of smallest parts of partitions of a positive integer n. In this paper we derived the generating function for the number of smallest parts of all partitions of n utilizing r-partitions of n. We also derive the generating function for Ac(n) , the number of smallest parts of the partitions of n which are multiples of c and also to evaluate the sum of smallest parts of partitions of n by applying the concept of r-partitions of n