I'm trying to expand this function using Taylor expansion, that is, find a way to represent algebraically the coefficients of the expansion of the following function

\(\displaystyle \frac{2x^4-x^3-x^2-x+1}{1-2x+x^5}\)

I'm trying to do this on the point \(\displaystyle x=0\), but I really need to know the algebraic form of these coefficients.

Thaks!