Computing A Specific Generating Function Sequence

Question

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).

Svante · Accepted Answer · 2009-03-27 00:06:48Z

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.

answered Mar 27, 2009 at 0:06

Svante

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Walden Leverich · Accepted Answer · 2009-03-26 21:59:43Z

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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?

answered Mar 26, 2009 at 21:59

Walden Leverich

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1 Comment

Auburnate Over a year ago

I guess I need to clarify my question. How do I implement the function at the top of the page in the programming language of your choice? That's were I am stuck.

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