Radius of convergence via limsup

Consider the power series $\sum_{n=0}^{\infty} a_n x^n$, where $a_{2n+1} = \frac{1}{2^{2n+1}}$ and $a_{2n} = \frac{1}{3^{2n}}$ for $n = 0,1,2,…$. The radius of convergence of the power series equals ________ (in integer).