\(B_2\)-sequences and the distinct distance constant
type: Item
instance of: scholarly article
title: \(B_2\)-sequences and the distinct distance constant
zbMATH Open document ID: 0952.11004
DOI: 10.1016/S0898-1221(00)00105-X
author: N. Delaunay
publication date: 2001-01-08T00:00:00Z
review text: Let \(1<a_1<a_2< \cdots \) be the consecutive terms of a sequence \(A\) of positive integers. The sequence \(A\) is said to be a \(B_2\)-sequence if all differences \(a_i-a_j\), \(i<j\) are distinct. The authors show that \(2.1600383<d<2.2473\), where \(d\) is the maximum over all \(B_2\)-sequences of the sum \(\sum (1/a_i)\).
Mathematics Subject Classification ID: 11B83
zbMATH DE Number: 1471533
zbMATH Keywords: Sidon sequence
reviewed by: Yahya Ould Hamidoune
describes a project that uses: OEIS
MaRDI profile type: Publication
Wikidata QID: Q60692080
cites work: Q4121006
cites work: Numbered complete graphs, unusual rulers, and assorted applications
cites work: A new algorithm for Golomb ruler derivation and proof of the 19 mark ruler
cites work: Q4312862
cites work: Q4834167
cites work: Q5844663
cites work: Unsolved problems in number theory
cites work: An extremal result for sum-free sequences
cites work: A B 2 -Sequence with Larger Reciprocal Sum
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1471533