See also 
http://ask.sagemath.org/question/23610/symbolic-integer-arithmetic/#23613
with my take on a generalized Binet formula. That would take care of all 
degree-2 recurrences with constant coeffs from QQ. I have something in the 
brewing on top of trac #15714 which needs review. But this gets you only the 
C-finite case, and D-finite is completely different, and I have no idea about 
algorithms there.

On the other hand, guessing C-finite is done in #15714, and for D-finite Sage 
has ore_algebra as optional package.

Regards,

On Thursday, September 25, 2014 8:26:30 PM UTC+2, projetmbc wrote:
> Hello.
> 
> 
> Is it possible to ask to sage to give formulas for simple recursive sequences 
> ?
> 
> 
> For example,  w_{n+1} = (n+1)/n*w_n + 1/n  with  w_0 = 1 , we have  w_n = 2 n 
> + 1 . More simple example could be arithmetico-geometrical sequences  w_{n+1} 
> = a*w_n + b .
> 
> 
> Christophe BAL

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