The formal term for it is synchronicity, a fact that makes listening to the old Police album of the same name even more interesting (listen to the lyrics for Synchronicity I and they'll make more sense in this context). It was quantified by Carl Jung as a term for the theory that the universe aligns itself with coincidences, a fact that flies in the face of causality. It's the kind of thing that feels right, even though it doesn't make sense.
Synchronicity