Permutations of the positive integers with restrictions on the sequence of differences

Peter J. Slater, William Yslas Velez

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Abstract

Let (ak) be a sequence of positive integers and We say that (ak) is a permutation if every positive integer appears once and only once in the sequence, (ak) We prove the following: Let (mi) be any sequence of positive integers, then there exists a permutation (ak) such that.

Original languageEnglish (US)
Pages (from-to)193-196
Number of pages4
JournalPacific Journal of Mathematics
Volume71
Issue number1
Publication statusPublished - 1977
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

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