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The nth expansion

What is the coefficient of \(x^2\) when

\((1+x)(1+2x)(1+4x)...(1+2^nx)\)

is expanded?

Note by Sharky Kesa
3 years, 5 months ago

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n(2)^(n+1) Aaron Paul · 2 years, 11 months ago

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Hint: Take pairs of coefficients. Shaan Vaidya · 3 years, 5 months ago

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