I need a set of seeds $S=\{s_1,..., s_n\}$, for pseudo-random function where seed $s_i$ is used to generate a set of pseudo-random values. Obviously I need to be able to regenerate the sets of pseudo-random values, but I do not want to keep the seeds. Thus, I'd like to use a master seed to generate the other seeds.
Question: Would it be secure if I generate a seed for pseudo-random function and then use it to generate a set of seeds?
If not what a solution would be?
By secure I mean the pseudo-random values should not be distinguished from random values.