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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 (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
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