Recurrence for the Right-Hand Side
We obtain a recurrence for the right-hand side by applying Mgfun[sum_of_sys] on the system computed in the previous section.
> sum_of_sys(sys,k=-infinity..infinity,takayama_algo);
This recurrence is different from the one obtained for the left-hand side.
> rec[right]:=op(collect(",h,factor));
We thus need more work to prove that both sides agree.