Journal of Integer Sequences, Vol. 16 (2013), Article 13.6.2

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


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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