A Note on Weakly Complete Sequences
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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