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A340552
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Decimal expansion of Product_{primes p == 5, 7, 11 (mod 12)} 1/(1 - 1/p^2).
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2
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1, 0, 8, 8, 3, 3, 6, 9, 3, 5, 2, 6, 8, 3, 4, 2, 0, 5, 2, 6, 7, 3, 5, 7, 7, 5, 0, 5, 9, 5, 7, 0, 2, 5, 0, 6, 9, 9, 8, 1, 3, 4, 0, 8, 6, 6, 9, 6, 2, 1, 7, 5, 2, 8, 4, 3, 5, 4, 2, 8, 0, 2, 1, 6, 2, 8, 4, 5, 0, 4, 9, 7, 5, 1, 5, 0, 2, 7, 0, 7, 2, 8, 2, 7, 5, 5
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OFFSET
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0,3
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LINKS
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FORMULA
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A340552^(1/2) = A301430 / (3^(1/4)*Pi^(1/2)*log(2+sqrt(3))^(1/4)/(2^(5/4)* Gamma(1/4))), see É. Fouvry et al.
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EXAMPLE
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1.0883369352683420526735775059570250699813408669621752843542802162845...
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MATHEMATICA
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(* Using Vaclav Kotesovec's function Z from A301430. *)
$MaxExtraPrecision = 1000; digits = 90;
digitize[c_] := RealDigits[Chop[N[c, digits]], 10, digits - 1][[1]];
digitize[Z[12, 5, 2] Z[12, 7, 2] Z[12, 11, 2]]
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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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