Hopefully, nice(?) sequence relating to Fib, Luc.

[creigh at o2online.de]

Hi!

As neither 
(a(n)) = (9, 100, 729, 5041, 34596, 237169, 1625625, 11142244, 76370121, 523448641, )
nor (sqrt(a(n)) 
appear to be listed at OEIS, I'm hoping the following relation will not 
be a trivial consequence of some other formula:

81[Fib(2n+2)]^2 + [Luc(2n+2)]^2 = 4a(n) + 18[Fib(4n+4)]

[by the way, this was a found by slightly modifying the formula for "les, 
ves," etc. at http://www.research.att.com/projects/OEIS?Anum=A097947 ]
 
Sincerely, 
Creighton