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A318437
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Decimal expansion of the constant that satisfies (2^x+1)*(3^x+1)^2/(2^x*(3^(2*x)+1)) = zeta(x)/zeta(2x).
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0
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1, 9, 7, 4, 2, 5, 5, 0, 2, 3, 0, 6, 4, 6, 5, 2, 5, 9, 3, 3, 7, 8, 3, 2, 6, 7, 5, 5, 1, 0, 9, 9, 6, 9, 5, 3, 6, 1, 8, 9, 0, 5, 8, 8, 9, 5, 6, 8, 5, 7, 0, 8, 3, 3, 0, 6, 1, 2, 5, 6, 0, 1, 8, 1, 5, 7, 5, 2, 1, 4, 0, 6, 4, 0, 3, 0, 9, 7, 7, 5, 0, 6, 9, 5, 3, 3, 1, 7, 9, 8, 1, 2, 9, 3, 0, 6, 6, 7, 7, 6
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OFFSET
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1,2
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COMMENTS
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See the Defant link for more explanations on this constant.
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LINKS
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EXAMPLE
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1.97425502306465259337832675510996953618905889568570833061256...
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MATHEMATICA
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RealDigits[x /. FindRoot[(2^x+1)*(3^x+1)^2/(2^x*(3^(2*x)+1)) == Zeta[x]/Zeta[2*x], {x, 3/2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Sep 25 2022 *)
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PROG
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(PARI) solve(x=1.5, 2, (2^x+1)*(3^x+1)^2*zeta(2*x) - (2^x*(3^(2*x)+1)*zeta(x)))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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