Find the generating function of the sequence {ak}k≥o if for every integer k ≥ 0: J 1, (-2)*, if 0 ≤ k ≤ 3 if k ≥ 4 ak = 1+2x 1 1+2x +9x³ 3x² + 3x - 1 1 1+2x - +8x³ - 4x² + 2x 1 0 1+x+x² + x³ + +9x³ 0 1 + x + x² + x³ +16- 1 1+2x 1 1+2x None of these. 3x² + 3x

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