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The Integers as Differences of a Sequence
Published online by Cambridge University Press: 20 November 2018
Abstract
It is shown that there exists a sequence of integers a1 < a2 <... such that each positive integer is a difference of elements of the sequence in exactly one way, and such that ak does not exceed a constant times k3. In fact we construct such a sequence with each ak in [C(k -1)3, Ck3), where C is an absolute constant.
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- Copyright © Canadian Mathematical Society 1981
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