Earlier quoted context omitted.
I get mad at people who think sons of first-cousins are second-cousins all the time -- and, frankly, almost everyone I know think this way. I'm glad you linked to this Wikipedia article that proves I'm not mad into thinking there is a simple logic pattern that can be applied to cousinship. However, this "once removed" notation is crazy. Why not second-uncle for parents of second-cousins and so on?
Pardon me for my ignorance, but wouldn't sons of first cousins be second cousins?
You are, to your your first cousin's child, who is your first cousin once-removed, a second cousin once-removed.