I am wondering if someone can say if the following qualifies as a PRNG. Input a random bit seed of length $n$ into the generator, and over $k$ steps the generator uses $k$ publicly known integers to compute the pseudo random bit sequence, outputting a stream of $kn$ pseudo random bits.
I am wondering if the use of the $k$ (predefined) integers in computation still qualifies as a pseudo random number generator; if the integers need not be private, and need not be determined by the user do they count as part of the seed?