There are certain sites that have some information on chicken genetics and the different genes too.
This one has quite a bit but chicken genetics are pretty complicated and this may be a bit overwhelming for a beginner beginner. it is still a LOT for me and I am more of an advanced beginner at this point.
http://www.edelras.nl/chickengenetics/mutations1.html
It is my understanding that Columbian is an incompletely dominant eumelanin restrictor. Eumelanin being black pigment and its dilutes (like blue). Columbian pushes the black pigment to the hackles, tail, and wingtips. With just a single copy of Columbian the restriction won't be as thorough as with two copies. Since it is dominant (although incompletely) it will show to some degree on any bird that inherits at least one copy that is based on an E allele that it has a visible affect on.
There are other Columbian like restrictors that can look kind of like Columbian. Like Db (dark brown).
I'm afraid I don't know enough about how penciling is inherited to give a good guess on what your silkie x satin pairs would produce but like
@LadiesAndJane said probably mostly black with a black silkie male as the father. They will likely have some degree of leakage in the hackles and maybe breast as well (possibly even in other areas). The color of the leakage in the girls will depend on what ground color dad has (silver or gold or carrying both). The boys if they have leakage will have silver leakage since moms are silver based and will give one copy of silver to their sons. The pattern gene I believe (which is responsible for penciling) is incompletely dominant so maybe you'll get partial patterning in the areas where leakage is present. I'm not sure exactly how that works though. Also penciling expresses differently in males and females. It's the females who get to keep the pretty concentric black rings on the feathers throughout their body even as adults so they are the ones the patterning is likely to be most noticeable on. If your black boy happens to be split on his E allele you might get some colors other than black with leakage too.