Geodesic
On the Representation of Integers as Sums of Distinct Terms from a Fixed Sequence
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 643-655

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Let A = (a1, a2, a3, ...) be a sequence of positive integers. We let denote 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. 
Folkman, Jon. On the Representation of Integers as Sums of Distinct Terms from a Fixed Sequence. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 643-655. doi: 10.4153/CJM-1966-065-2
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[1] 1. Cassels, J. W. S., On the representation of integers as sums of distinct summands taken from a fixed set, Acta Szeged., 21 (1960), 111–124. Google Scholar

[2] 2. Erdös, P., On the representation of large integers as sums of distinct summands taken from a fixed set, Acta Arith., 7 (1962), 345–354. Google Scholar

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