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Article: Ascending sequences with neighboring elements add up to perfect square numbers

TitleAscending sequences with neighboring elements add up to perfect square numbers
Authors
Issue Date2017
PublisherAcademic Publishing House of the Bulgarian Academy of Sciences. The Journal's web site is located at http://nntdm.net/
Citation
Notes on Number Theory and Discrete Mathematics, 2017, v. 23 n. 1, p. 24-27 How to Cite?
AbstractWe consider the problem of partitioning the numbers 1..n to ascending sequences as few as possible, so that every neighboring pair of elements in each sequence add up to some perfect square number. We prove that the minimum number of sequences is . We hope that this paper exhibits an interesting property of the perfect square numbers.
Persistent Identifierhttp://hdl.handle.net/10722/248051
ISSN
2023 Impact Factor: 0.4

 

DC FieldValueLanguage
dc.contributor.authorJin, K-
dc.date.accessioned2017-10-18T08:36:56Z-
dc.date.available2017-10-18T08:36:56Z-
dc.date.issued2017-
dc.identifier.citationNotes on Number Theory and Discrete Mathematics, 2017, v. 23 n. 1, p. 24-27-
dc.identifier.issn1310-5132-
dc.identifier.urihttp://hdl.handle.net/10722/248051-
dc.description.abstractWe consider the problem of partitioning the numbers 1..n to ascending sequences as few as possible, so that every neighboring pair of elements in each sequence add up to some perfect square number. We prove that the minimum number of sequences is . We hope that this paper exhibits an interesting property of the perfect square numbers.-
dc.languageeng-
dc.publisherAcademic Publishing House of the Bulgarian Academy of Sciences. The Journal's web site is located at http://nntdm.net/-
dc.relation.ispartofNotes on Number Theory and Discrete Mathematics-
dc.titleAscending sequences with neighboring elements add up to perfect square numbers-
dc.typeArticle-
dc.identifier.emailJin, K: cskaijin@hku.hk-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.hkuros282121-
dc.identifier.volume23-
dc.identifier.issue1-
dc.identifier.spage24-
dc.identifier.epage27-
dc.publisher.placeBulgaria-
dc.identifier.issnl1310-5132-

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