I am not sure where you would obtain blocks of random numbers
I was thinking along the lines of using your algorithm to create two sets of random numbers. And masking them together to make a third set of random numbers. Would provide more numbers per minute for something like a random number provider.
Its just a thought, but I would assume ( with little analysis mind you ) that two truly random numbers combined to make a third should be no less random than generating the third value from scratch? maybe...