Eight Hateful Sequences

Simple item page
dc.creatorSloane, N. J. A.
dc.date2008-05-14
dc.date.accessioned2026-07-07T09:38:52Z
dc.date.available2026-07-07T09:38:52Z
dc.descriptionIn his July 1974 Scientific American column, Martin Gardner mentioned the Handbook of Integer Sequences, which then contained 2372 sequences. Today the On-Line Encyclopedia of Integer Sequences (the OEIS) contains 140000 sequences. This paper discusses eight of them, suggested by the theme of the Eighth Gathering For Gardner: they are all infinite, and all 'ateful in one way or another. Each one is connected with an unsolved problem. The sequences are related to: hateful numbers, Angelini's 1995 puzzle, the persistence of a number, Alekseyev's 123 sequence, the curling number conjecture, Quet's prime-generating recurrence, the traveling salesman's problem, and the Riemann Hypothesis.
dc.description5 pages; paper for 8th Gathering for [Martin] Gardner
dc.identifierhttps://arxiv.org/abs/0805.2128
dc.identifierhttp://arxiv.org/abs/0805.2128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160968
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject10A05, 10A35, 10L10, 10L99, 11M26, 90C27
dc.titleEight Hateful Sequences
dc.typetext

Files

Collections

arXiv