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

Peter J. Slater; William Yslas Vélez

doi:10.2140/pjm.1977.71.193

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

Peter J. Slater
, William Yslas Vélez

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	193-196
Number of pages	4
Journal	Pacific Journal of Mathematics
Volume	71
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1977.71.193
State	Published - Jul 1977
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.2140/pjm.1977.71.193

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title = "Permutations of the positive integers with restrictions on the sequence of differences",

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.",

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AU - Vélez, William Yslas

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AB - 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.

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UR - https://www.scopus.com/pages/publications/84972538089#tab=citedBy

U2 - 10.2140/pjm.1977.71.193

DO - 10.2140/pjm.1977.71.193

M3 - Article

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SP - 193

EP - 196

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

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

Abstract

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