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

Access to Document

10.2140/pjm.1977.71.193

Cite this

@article{175593c6128d4635b655b400751ca69b,

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.",

author = "Slater, {Peter J.} and V{\'e}lez, {William Yslas}",

year = "1977",

month = jul,

doi = "10.2140/pjm.1977.71.193",

language = "English (US)",

volume = "71",

pages = "193--196",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "1",

}

TY - JOUR

T1 - Permutations of the positive integers with restrictions on the sequence of differences

AU - Slater, Peter J.

AU - Vélez, William Yslas

PY - 1977/7

Y1 - 1977/7

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84972538089&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972538089&partnerID=8YFLogxK

U2 - 10.2140/pjm.1977.71.193

DO - 10.2140/pjm.1977.71.193

M3 - Article

AN - SCOPUS:84972538089

SN - 0030-8730

VL - 71

SP - 193

EP - 196

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this