Frobenius & Special Functions · Hard problem

The equation $xy'' + 2y' + xy = 0$ has indicial roots $0$ and $-1$ at $x = 0$. Let $y(x)$ be the Frobenius series solution for the root $r = 0$, normalised by $a_0 = 1$. Find the exact value of $y(\pi/6)$ by summing the series in closed form.