Eisenstein-Fibonacci sequences

[Ralf Stephan]

You wrote 
> * Jonathan Post <jvospost3 at gmail.com> [Nov 08. 2006 13:29]:
> > Thank you, Joerg.  That was interesting.  Does your generating function
> > hypothesis hold when I extend the sequence by another 5 values, to a(n) = 0, 0,
> > 1, 1, 3, 1, 7, 4,
> > 14, 17, 28, 54, 66, 143, 182, 350, 687, 987, 2611, 4298 ? Again, assuming that
> > I got the elementary algebra and arithmetic correct.
> 
> Alas, the function I gave was spurious, with the
> additional terms no OGF is found.

Quite possible. Always treat them as hypotheses, as Jonathan said.


ralf