On Sat, 17 Jun 2023 at 03:42, Melis Gezer <melisgeze...@gmail.com> wrote:
>
> Is there any function to obtain an explicit formula of coefficients for 
> generating functions?
>
> It should give, for example, (1/(n+1))C(2n,n) if I gave the generating 
> function of Catalan numbers.

I don't understand exactly what you are asking for but if you have a
sequence a0, a1, a2, ... and the generating function is

f(x) = a0 + a1*x + a2*x**2 + ...

Then if you have a formula f_expr for f(x) you can find a formula for ai with

f_expr.diff(x, i).subs(x, 0)/factorial(i)

--
Oscar

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