Polynom/C/Umkehrreihe/Rekursion/1/Aufgabe/Lösung

Es ist

${}F_{1}=T-T^{2}(3-2T)=T-3T^{2}+2T^{3}\,$

und

${}{\begin{aligned}F_{2}&=T-{\left(T-3T^{2}+2T^{3}\right)}^{2}{\left(3-2{\left(T-3T^{2}+2T^{3}\right)}\right)}\\&=T-{\left(T^{2}-6T^{3}+13T^{4}-12T^{5}+4T^{6}\right)}{\left(3-2T+6T^{2}-4T^{3}\right)}\\&=T-3T^{2}+20T^{3}-57T^{4}+102T^{5}-138T^{6}+132T^{7}-72T^{8}+16T^{9}.\end{aligned}}$

Zur gelösten Aufgabe