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Expanding each term as a [[geometric series]], we can rewrite it as
(1 + <i>x</i> + <i>x</i><sup>2</sup> + <i>x</i><sup>3</sup> + ...)(1 + <i>x</i><sup>2</sup> + <i>x</i><sup>4</sup> + <i>x</i><sup>6</sup> + ...)(1 + <i>x</i><sup>3</sup> + <i>x</i><sup>6</sup> + <i>x</i><sup>9</sup> + ...) ...
The <i>x</i><sup>m</sup> term in this product counts the number of ways to write
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