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MathNet 2009-part-05 — 172 problems (EN–VI) Question 10

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 10

Compute
$$
\prod_{n=0}^{\infty}\left(1-\left(\frac{1}{2}\right)^{3^{n}}+\left(\frac{1}{4}\right)^{3^{n}}\right)
$$