A167654 Simple zero-divisors of Cayley-Dickson algebras

0, 0, 0, 0, 42, 294, 1518, 6942, 29886

Offset

0,5

Comments

Zero divisors of the form e+f where e and f are units of the Cayley-Dickson algebra with 2^n elements.

Links

Table of n, a(n) for n=0..8.

Joerg Arndt, Matters Computational (The Fxtbook) section 39.14.4 "Simple zero-divisors of the sedenions", p.820-821.

Joerg Arndt, List of simple zero-divisors of the sedenions.

Example

There are no zero-divisors 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 k-th 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