Eight Hateful Sequences
Abstract
In his July 1974 Scientific American column, Martin Gardner mentioned the Handbook of Integer Sequences, which then contained 2372 sequences. Today the OnLine 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 primegenerating recurrence, the traveling salesman's problem, and the Riemann Hypothesis.
 Publication:

arXiv eprints
 Pub Date:
 May 2008
 arXiv:
 arXiv:0805.2128
 Bibcode:
 2008arXiv0805.2128S
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Number Theory;
 10A05;
 10A35;
 10L10;
 10L99;
 11M26;
 90C27
 EPrint:
 5 pages