Question: Let f(x) be the OGF for the sequence {C,}n>0. Use the recursion formula given above to prove that f(x) satisfies the formula f(x) =

Let f(x) be the OGF for the sequence {C,}n>0. Use the recursion

Let f(x) be the OGF for the sequence {C,}n>0. Use the recursion formula given above to prove that f(x) satisfies the formula f(x) = 1 + x(f(x)). Use this to find a concise formula for f(x).

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