There is a series of number ana_nan. ∀n>1\forall n > 1∀n>1, (an−1−an−2)=2(an−an−1)(a_{n-1} - a_{n-2}) = 2(a_n - a_{n-1})(an−1−an−2)=2(an−an−1), a0=5a_0 = 5a0=5, a1=9a_1 = 9a1=9. Using generating function f(z)f(z)f(z) to solve ana_nan, what of the followings are true?