Characteristic eq for an=62an−1+an−2a_n = 62a_{n-1} + a_{n-2}an=62an−1+an−2.
r2−62r+1=0r^2 - 62r + 1 = 0r2−62r+1=0
r2−62r−1=0r^2 - 62r - 1 = 0r2−62r−1=0
r2+62r−1=0r^2 + 62r - 1 = 0r2+62r−1=0
r2+62r+1=0r^2 + 62r + 1 = 0r2+62r+1=0