Question: (a) Find the generating function for the sequence (1,1, 2, 2,4, 4, 8,8, .) (b) Find the general solution for the homogeneous recurrence relation

(a) Find the generating function for the sequence (1,1, 2, 2,4, 4,

(a) Find the generating function for the sequence (1,1, 2, 2,4, 4, 8,8, .) (b) Find the general solution for the homogeneous recurrence relation an+2 + 4a,+1 + 16a, = 0 !! (c) Let ty be the number of solutions to the following equation a + 2b = n where a,b 2 0. Find the generating function for k and an explicit formula for t, in terms of n.

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