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Recursionhard
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If the generating function is G(x)=11−3x+x2G(x) = \frac{1}{1 - 3x + x^2}G(x)=1−3x+x21​ and G(x)=∑n=0∞anxnG(x) = \sum_{n=0}^{\infty} a_n x^nG(x)=∑n=0∞​an​xn, which recurrence relation do the coefficients satisfy for n≥2n \geq 2n≥2?