Hi:

I want to use power series to solve second order differential equation. 
Albeit sympy.ode already has 2nd_power_series_ordinary and 
2nd_power_series_regular 
to do the job, it does not provide the recurrence relation of coefficient. 
What I actually need is the recurrence relation of coefficient. So I follow 
the standard procedure of power series

<https://lh3.googleusercontent.com/-aL0clinbaqI/V6z4HLXDZHI/AAAAAAAAABc/316KUZNzi3sjBVDrz50xE6Lv7PTB10GIQCLcB/s1600/untitled.png>

and apply it to sturm liouville form of legendre equation. The next job is 
to get the coefficient of x**i, I can not directly use 
legendre.coeffs(x,i), so I want to extract the sum symbol outside just like 
that in the last markdown and then use args to extract the expression 
inside sum and I can do more operation. The problem is how to extract the 
sum symbol outside just like that in the last markdown. sympy.extend and 
sympy.factor do not do the job. Which function in sympy actually the job?

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