Rocket engine with electric pumps: http://www.scienceforums.net/topic/73571-rocket-engine-with-...
I suppose it makes sense, as it is very difficult to have a turbo with rocket exhaust on one side and cryogenic oxygen on the other. Its quite creative if it is actually cheaper. It might also allow finer control over throttling back, but thats not useful unless you're spaceX.
Staged combustion motors run the exhaust of the turbo-pump into the main combustion chamber, and have far better specific impulse, but are much harder to design and build.
The the electric pump design, you can have the simplicity of and reliability of the open cycle main engine, with the efficiency inherent in not effectively throwing a percentage of your fuel overboard.
http://arstechnica.com/science/2013/01/saturn-v-moon-rocket-...
Yes, the turbopump is run off its own rocket engine --- which drove a 40MW turbine, which ran a pump that could push three tonnes of rocket fuel a second.
Admittedly, the Saturn V was a little bit bigger than this rocket's going to be, and had special needs, but it goes to show that rocket fuel powered turbopumps are scary.
(Incidentally, SpaceX use a rocket fuel powered turbopump for the Falcon 9. I believe the scary-looking plume of flame that comes out sideways is the exhaust. It's a mere 2MW. Per engine.)
EDIT: RP-1 now, not methane