$\displaystyle F(x) = f(x)g(x) $

$\displaystyle F^1 = f^1 g + g^1 f $

$\displaystyle F^2 = f^2 g + 2 f^1g^1+g^2f$

$\displaystyle F^3=f^3g+3f^2g^1+3f^1g^2+fg^3$

$\displaystyle F^4=f^4g+4f^3g^1+6f^2g^2+4f^1g^3+fg^4$

could you help to find the fomular for

$\displaystyle F^n= ????$