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Some Extremal Postage Stamp Bases
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Michael F. Challis

Hempnall House

Lundy Green Hempnall

Norwich NR15 2NU

United Kingdom

John P. Robinson

Center for Bioinformatics and Computational Biology

University of Iowa

Iowa City, IA 52242

USA

**Abstract:**

A set of *k* positive integers is a postage stamp basis for *n* if
every positive integer up to *n* can be expressed as the sum of no more
than *h* values from the set. An extremal basis is one for which *n*
is as large as possible. For the case *h* = *k* = 8,
the unique extremal
basis is *A* = {1,8,13,58,169,295,831,1036}, with *n* = 3485.
Several other new extremal bases are presented, along with corrections to
a previous article.

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Addendum, July 30 2013: pdf,
latex
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(Concerned with sequences
A001210
A001211
A001212
A001215
A001216
A053346
A053348 .)

Received September 23 2009;
revised version received November 18 2009; January 27 2010.
Published in *Journal of Integer Sequences*, January 30 2010.

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