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A Note on Weakly Complete Sequences
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Alyson Fox and Michael P. Knapp

Department of Mathematics and Statistics

Loyola University Maryland

4501 North Charles Street

Baltimore, MD 21210-2699

USA

**Abstract:**

A weakly complete sequence is an increasing sequence of positive
integers such that every sufficiently large integer can be
written as a sum of distinct terms of the sequence. In this article,
we give a partial proof of a conjecture of Paul giving a formula for
weakly complete sequences formed using a natural procedure.

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Received September 15 2011;
revised version received February 17 2012; May 28 2013.
Published in *Journal of Integer Sequences*, June 6 2013.

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