Eisenstein-Fibonacci sequences

[Joerg Arndt]

* 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.

The gp/script can be found here
http://www.jjj.de/pari/ggf.inc.gp
(cannot find Ralf original at the moment).


> If so, I should submit this sequence as by the two us!

Definitely your invention!
But thanks for the kind offer.


> [...]

best regards,    jj