Evaluating $\sum\limits=?iso-8859-1?Q?=5F{k=3D1}^{\infty}\frac1{?=(3k+1)(3k+2)}$ – math.stackexchange.com

Evaluating $\sum\limits_{k=1}^{\infty}\frac1{(3k+1)(3k+2)}$ –
math.stackexchange.com

What is the value of $\displaystyle\sum_{k=1}^{\infty}\frac1{(3k+1)(3k+2)}$?