On Mar 30, 2:58 pm, ObsessiveMathsFreak
<obsessivemathsfr...@gmail.com> wrote:
> I'm just wondering if there is a canonical (i.e. convienient(i.e.
> lazy)) way to define simple sequences and series in sage. In
> particular, is there a standard way to define recursive series?
>
> Suppose for example that You wanted to define the series a_n=1/n^2. Is
> there a way to do this without writing a for loop?
>
> And moreover, suppose you wanted to define the recursive sequences
> a_n=(n^2+2)a_{n-1}. Is there a way to do this automatically?

I think Maxima can do recurrences. 
http://maxima.sourceforge.net/docs/manual/en/maxima_76.html

But this hasn't been added to Sage yet, in the sense of wrapping the
functionality nicely.

http://trac.sagemath.org/sage_trac/ticket/1291

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