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If the sum of the coefficients of all even powers of $x$ in the product is 61, what is the value of $n$?
If the sum of the coefficients of all even powers of $x$ in the product is 61, what is the value of $n$?
What is the sum of the coefficients of all even powers of $x$ in the product $(1 + x + x^2 + … + x^{2n}) (1 – x + x^2 – x^3 + … + x^{2n})$?
What is the sum of the coefficients of all even powers of $x$ in the product $(1 + x + x^2 + … + x^{2n}) (1 – x + x^2 – x^3 + … + x^{2n})$?
What is the coefficient of $x^{10}$ in the product $(1 + x + x^2 + … + x^{20}) (1 – x + x^2 – x^3 + … + x^{20})$?
What is the coefficient of $x^{10}$ in the product $(1 + x + x^2 + … + x^{20}) (1 – x + x^2 – x^3 + … + x^{20})$?