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What software do you use and would recommend for solving recurrence relations?

For example mathematica has RSolve:

$ a(n+1)-2 a(n) = 1$ for $a(n)$:

RSolve[a[n + 1] - 2 a[n] == 1, a[n], n]
-> a(n) = c 2^(n-1)+2^n-1

Are there any good (preferably open) alternatives?

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  • $\begingroup$ As you say Mathematica has a built in function, but even though it's not open source, you can still program it, right? $\endgroup$ – Andy Feb 28 '11 at 12:46
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WolframAlpha does an okay job.

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  • $\begingroup$ Indeed but you can not program it. $\endgroup$ – Eelvex Feb 28 '11 at 12:35

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