If f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞anxn and the coefficient a3=23!a_3 = \frac{2}{3!}a3=3!2, what is the value of f′′′(0)3!\frac{f'''(0)}{3!}3!f′′′(0)?
13\frac{1}{3}31
23\frac{2}{3}32
222
16\frac{1}{6}61