Disjoint Beatty sequences.
Simpson, Jamie (2004)
Integers
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Displaying similar documents to “Aviezri Fraenkel's work in number theory.”
Disjoint Beatty sequences.
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Generalized Beatty sequences.
Mercer, A.McD. (1978)
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Increasing integer sequences and Goldbach's conjecture
Mauro Torelli (2006)
RAIRO - Theoretical Informatics and Applications
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Increasing integer sequences include many instances of interesting sequences and combinatorial structures, ranging from tournaments to addition chains, from permutations to sequences having the that any integer greater than 1 can be obtained as the sum of two elements in the sequence. The paper introduces and compares several of these classes of sequences, discussing recurrence relations, enumerative problems and questions concerning shortest sequences.