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Recursionhard
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A recurrence relation an=an−1+an−2a_n = a_{n-1} + a_{n-2}an​=an−1​+an−2​ with a0=0,a1=1a_0=0, a_1=1a0​=0,a1​=1 counts Fibonacci numbers. What is the generating function A(x)=∑n=0∞FnxnA(x) = \sum_{n=0}^{\infty} F_n x^nA(x)=∑n=0∞​Fn​xn?