A second-order linear recurrence an=pan−1+qan−2a_n = pa_{n-1} + qa_{n-2}an=pan−1+qan−2 is uniquely determined by:
Just the coefficients ppp and qqq
The coefficients p,qp, qp,q and exactly 2 initial conditions
Only the initial values a0a_0a0 and a1a_1a1
The characteristic equation alone