I am new to stack exchange though I have used it to help me through some struggles before. This question I cannot find an answer to.
I'm looking to create a set of polynomials where the 'i'th polynomial is some combination of the previous polynomial and the second previous polynomial. For example.
Subscript[M, i] = Subscript[Z, i]*Subscript[M, i - 1] - Subscript[K, i]^2*Subscript[M, i - 2]
If I provide the first two elements can I generate this list such that I can ask for the 50th polynomial. Grant it the size will be extraordinary. Thanks!