

A167654


Simple zerodivisors of CayleyDickson algebras


0




OFFSET

0,5


COMMENTS

Zero divisors of the form e+f where e and f are units of the CayleyDickson algebra.


LINKS

Table of n, a(n) for n=0..8.
Joerg Arndt, Matters Computational (The Fxtbook) section 39.14.4 "Simple zerodivisors of the sedenions", p.820821.
Joerg Arndt, List of simple zerodivisors of the sedenions.


EXAMPLE

There are no zerodivisors for reals (n=0), complex numbers (n==1), quaternions (n=2), and octonions (n=3). For the sedenions there are 42 sums of two units that are zero divisors. For example ( 1 + 10 ) * ( 5 + 14 ) is zero, so (1+10) is a simple zero divisor (writing k for the kth unit, starting with 0).


CROSSREFS

Sequence in context: A248466 A233407 A272139 * A095266 A232338 A252937
Adjacent sequences: A167651 A167652 A167653 * A167655 A167656 A167657


KEYWORD

more,nonn


AUTHOR

Joerg Arndt, Nov 08 2009


STATUS

approved



