OFFSET
1,2
COMMENTS
If n is even, a(n)=1+2^n+3^n. Does a(5)=12 ?
The conjectured minimum of 12 for a(5) can be achieved by (x,y,z) = (13,16,-17). - Stefan Steinerberger, Dec 13 2007
Not only must x,y,z, be distinct, but also |x|, |y|, |z|. Otherwise take x = -y and z = 1; then for any odd n, a(n) = |x^n + (-x)^n + 1^n| = 1. - Ryan Propper, Feb 06 2008
LINKS
K. S. Brown, A Conjecture on the Fermat Function (in Marginalia)
CROSSREFS
KEYWORD
more,nonn,hard
AUTHOR
Benoit Cloitre, Jun 03 2002
STATUS
approved