Generalized Binomial Expansion

If the function f(x)=1+xf(x) = \sqrt{1 + x} is expanded out in terms of powers of xx such that f(x)=k=0akxk,f(x) = \sum\limits_{k=0}^{\infty} a_{k} x^{k}, what's the coefficient a3a_{3} of the x3x^{3} term?

Express your answer as an exact decimal.

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