Hi Marc,
On 2018-12-08, Marc Mezzarobba <[email protected]> wrote:
> In Sage itself, CFiniteSequence.closed_form() should be able to solve
> linear recurrence with constant coefficients.
Thank you!
Indeed, after changing my search keyword from resursive to reccurrence,
CFiniteSequence seemed to be the most helpful answer in Sage. What about
a more complicated recurrence, such as the one given by
x_(n+1) = 1 + x_n*2/n
Any chances to solve those and similar recurrences automatically?
My original hope was that some capability to solve a symbolic recurrence
is standard in Sage; after all, symbolic sums *can* to some extent be
computed in Sage:
sage: var('k', domain='integer')
k
sage: sum(x^k*(k+1)/(k+2), k,0,Infinity)
(x*(log(-x + 1) - 1) - log(-x + 1))/(x^3 - x^2)
Best regards,
Simon
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