F(x) is a function which is defined as F(x) = (x+1)² * e^2x. The fiftieth derivative of F(x) with respect to x at x=0, i.e. F⁽⁵⁰⁾(0), is expressible in the form k*2ⁿ where k is an odd integer and n is a positive integer.

Determine the respective values of k and n.