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    Digit Product

    Definition

    Let s_b(n) be the sum of the base-b digits of n, and ϵ(n) = (-1)^(s_2(n)) the Thue-Morse sequence, then product_(n = 0)^∞ ((2n + 1)/(2n + 2))^(ϵ(n)) = 1/2 sqrt(2).

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