1,2

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 (stefan.steinerberger(AT)gmail.com), 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 (rpropper(AT)cs.stanford.edu), Feb 06 2008

K. S. Brown, A Conjecture on the Fermat Function [Broken link?]

Adjacent sequences: A071710 A071711 A071712 this_sequence A071714 A071715 A071716

Sequence in context: A040208 A097181 A040209 this_sequence A040192 A040191 A040193

more,nonn,hard

Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 03 2002