Eight Hateful Sequences
Combinatorics
2008-05-15 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.0805.2128,
title = {Eight Hateful Sequences},
author = {N. J. A. Sloane},
journal= {arXiv preprint arXiv:0805.2128},
year = {2008}
}
Comments
5 pages; paper for 8th Gathering for [Martin] Gardner