ClearAll[F];
F[x_]:=(1/(1-x-(x^2)));

CoefficientList[Series[F[x],{x,0,11}],x]

ClearAll[C1];
C1[x_]:=((x^2)/((1-2x)(((1-x))^2)));
CoefficientList[Series[C1[x],{x,0,11}],x]

CoefficientList[Series[((x^2)/(((1-x))^2)),{x,0,11}],x]