a_n = 5a_(n-1) - 6a_(n-2) for n>=2, a_0 = 1 and a_1 = c
I got A(x) = 1 + (c+5)x / 1-5x+6x^2 and this is wrong.
Your function does not proeduce:
I don't know what method you used . . .
We have: .
Let . . . That is, assume is an exponential function.
Then we have: .
Form a linear combination of these roots: .
From the first two values, we have: .
Solve the system of equations: .
. . Therefore: .