Eight Hateful Sequences

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In 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.
5 pages; paper for 8th Gathering for [Martin] Gardner

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Combinatorics, Number Theory, 10A05, 10A35, 10L10, 10L99, 11M26, 90C27

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http://salesiana.dossiersoluciones.com/handle/123456789/160968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.2128
 http://arxiv.org/abs/0805.2128

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arXiv