Seeded random that has floats as input and output for possible recursion

I am looking for a seeded solution to be able to reproduce results. I need a random float between 0 and 1 for each recursive run of my method, so I need to use the previous seed or float to produce a new random float or seed. So I am in need of a seeded seed generator or a seeded float generator where the seed is a float. Any ideas?