Partial Fraction maybe, or maybe not

Probability Level 4

=1+13+1336+135369+135736912+ \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 ba\sqrt[a]{b}, where aa and bb are the smallest possible integral values, then type in your answer as a+ba+b.

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