I'd say the best course of action is to flag any one of the user's posts for moderator attention. In the box provided, explain why you think that the user accounts are in need of merging and be sure to provide links that substantiate your suspicions. (Although in this case, it's pretty clear-cut...)
In general, I see little or no reason to bring it up here on Meta. No community discussion is required, and this is probably something best kept private between the individual user(s) and the moderator handling it.
I very much recommend against trying to contact them on your own. People don't always respond well to this, and it's possible that you'll end up just causing trouble. Moderators have tools in their bag of tricks that let them handle this type of situation much more elegantly. And even in cases like this one (where the user obviously didn't intend to create a duplicate account), their "fix" would be to flag one of their own posts for moderator attention and ask for their accounts to be merged. I'd say that doing it yourself cuts out the "middle man" and arguably makes the experience all that much more seamless for a new user.