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Partitioning an Arithmetic Interval

Published online by Cambridge University Press:  20 November 2018

William Gustin
William Gustin*
Affiliation:
Institute for Advanced Study Princeton>, N.J.
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Extract

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The purpose of this paper is to characterize all ways in which an initial interval of natural numbers can be partitioned into a unique arithmetic sum of certain of its subsets.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 81 - 85
Copyright
Copyright © Canadian Mathematical Society 1953

References

1 Subscript indices indicate that the order of indexing is significant.

2 Superscript indices indicate that the order of indexing is not significant.

3 Two explicit formulae for this function are derived from the recursion relation developed here in Proc. Amer. Math. Soc., 3 (1952), 31-35.