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Article: Ascending sequences with neighboring elements add up to perfect square numbers
| Title | Ascending sequences with neighboring elements add up to perfect square numbers |
|---|---|
| Authors | |
| Issue Date | 2017 |
| Publisher | Academic 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? |
| Abstract | We 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 Identifier | http://hdl.handle.net/10722/248051 |
| ISSN |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Jin, K | - |
| dc.date.accessioned | 2017-10-18T08:36:56Z | - |
| dc.date.available | 2017-10-18T08:36:56Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | Notes on Number Theory and Discrete Mathematics, 2017, v. 23 n. 1, p. 24-27 | - |
| dc.identifier.issn | 1310-5132 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/248051 | - |
| dc.description.abstract | We 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.language | eng | - |
| dc.publisher | Academic Publishing House of the Bulgarian Academy of Sciences. The Journal's web site is located at http://nntdm.net/ | - |
| dc.relation.ispartof | Notes on Number Theory and Discrete Mathematics | - |
| dc.title | Ascending sequences with neighboring elements add up to perfect square numbers | - |
| dc.type | Article | - |
| dc.identifier.email | Jin, K: cskaijin@hku.hk | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.hkuros | 282121 | - |
| dc.identifier.volume | 23 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 24 | - |
| dc.identifier.epage | 27 | - |
| dc.publisher.place | Bulgaria | - |
| dc.identifier.issnl | 1310-5132 | - |