On the Representation of Integers as Sums of Distinct Terms from a Fixed Sequence

Abstract

Let A = (a1, a2, a3, …) be a sequence of positive integers. We letdenote the set of integers that are sums of distinct terms of A. If P(A) contains all sufficiently large integers, we say that A is complete. We shall show that certain classes of sequences that are characterized by their rate of growth are complete.