User blog comment:Edwin Shade/The Nano-Graham Problem/@comment-1605058-20171008200832/@comment-32876686-20171008203412

You're right, there are only 4 unique colorings with two blue edges, what happened is that I was remembering these numbers from a sheet of paper I wrote them down on earlier and made a mistake in doing so.

There are however 9 unique colorings with 3 blue edges.