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This is not a homework question, but something I was wondering about solving difference equations.

For example, how would I solve the following difference equation;

[tex]F_{n} = 2F_{n - 2p + 5} + 6p - 17; n, p \in \mathbb N[/tex]

Since it has homogeneous and inhomogeneous parts together (and two unknowns - n and p) I don't know what to do. Any help on how I would solve this would be appreciated, thanks.

(For where I got this formula from - I found this when thinking about a formula that would give me the minimum number of moves to complete a game of Tower of Hanoi withndiscs andppoles.)

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# Solving Difference Equations with Homogeneous and Inhomogeneous Parts?

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