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A167654 Simple zero-divisors of Cayley-Dickson algebras 0
0, 0, 0, 0, 42, 294, 1518, 6942, 29886 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Zero divisors of the form e+f where e and f are units of the Cayley-Dickson algebra.

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

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Last modified January 27 18:40 EST 2022. Contains 350611 sequences. (Running on oeis4.)