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AoPS Wiki talk:Problem of the Day/August 8, 2011

Revision as of 19:10, 8 August 2011 by Justong (talk | contribs) (Created page with "We see that each coefficient of the terms of the polynomials is <math>1</math>, so we only need to determine how many terms <math>f</math> has. We see that each term is of the fo...")
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We see that each coefficient of the terms of the polynomials is $1$, so we only need to determine how many terms $f$ has. We see that each term is of the form $x^n$, where $n$ is a perfect square. The largest of these $n$ is $n=1000000=100^2$, so the number of terms of $f$, and thus the sum of the coefficients of $f$, is $\boxed{100}$.

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