Note Concerning an Odd Langford Sequence

It is shown that the set {1, 2,⋯ , 2 n+ 3} − {p } can be partitioned into differences 1, 3,⋯ , 2 n+ 1 precisely whenn≥ 1, p is odd and (n, p) ≠= (1, 3). All sets whose elements are in arithmetic progression and which can be partitioned into differences that are again in arithmetic progression are cl...

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Bibliographic Details
Published in:European journal of combinatorics 2001-01, Vol.22 (1), p.79-83
Main Author: Linek, Vaclav
Format: Article
Language:English
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Summary:It is shown that the set {1, 2,⋯ , 2 n+ 3} − {p } can be partitioned into differences 1, 3,⋯ , 2 n+ 1 precisely whenn≥ 1, p is odd and (n, p) ≠= (1, 3). All sets whose elements are in arithmetic progression and which can be partitioned into differences that are again in arithmetic progression are classified.
ISSN:0195-6698
1095-9971
DOI:10.1006/eujc.2000.0437