Increasing integer sequences and Goldbach's conjecture
Università di Milano,
Dipartimento di Scienze dell'Informazione,
via Comelico 39,
20135 Milano, Italy; email@example.com
Increasing integer sequences include many instances of interesting sequences and combinatorial structures, ranging from tournaments to addition chains, from permutations to sequences having the Goldbach property 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.
Mathematics Subject Classification: 11Y55 / 11P32 / 05A15 / 11B99
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