# Partial Fraction maybe, or maybe not

$\large \Im = 1 + \dfrac {1}{3} + \dfrac {1\cdot 3}{3\cdot 6} + \dfrac {1\cdot 3\cdot 5}{3\cdot 6\cdot 9} + \dfrac {1\cdot 3\cdot 5\cdot 7}{3\cdot 6\cdot 9\cdot 12} + \cdots$

If $$\Im$$ can be expressed as $$\sqrt[a]{b}$$, where $$a$$ and $$b$$ are the smallest possible integral values, then type in your answer as $$a+b$$.

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