Computing A Specific Generating Function Sequence

Question

http://www.research.att.com/~njas/sequences/A097196

I was wondering how to continue generating the sequence given in the link. It is based off a generating function. Any ideas would be appreciated. Certain numbers in a certain sequence of this sequence are showing up as answers to subproblems of Project Euler problem 208 (robot walks).

Answer 1

Converting a Generating Function to an implementation that actually spits out the elements of a series is not trivial. If you use Mathematica, there are some built-in functions to handle this. A description can be found at Wolfram MathWorld.

Answer 2

Isn't that sequence defined by the function at the top of the page -- {n >= 1} (1+q^(3*n))^4*(1-q^(3*n))^2/(1-q^(2*n)) ? Just keep running the function, no?