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A224579
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Continued fraction of (gamma+sqrt(4+gamma^2))/2, where gamma is the Euler-Mascheroni constant.
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2
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1, 3, 28, 13, 3, 1, 2, 1, 1, 8, 3, 4, 3, 3, 15, 12, 5, 2, 8, 1, 24, 2, 3, 5, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 7, 12, 1, 1, 1, 3, 1, 1, 1, 2, 1, 107, 1, 3, 6, 1, 26, 121, 3, 2, 1, 1, 12, 117, 1, 2, 3, 7, 5, 41, 5, 1, 5, 1, 1, 2, 3, 1, 200, 1, 4, 3, 191, 1, 5, 3, 5
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OFFSET
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1,2
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COMMENTS
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Continued fraction of the constant in A224578.
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LINKS
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MAPLE
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Digits:=200; a:=evalf(gamma, 5000); evalf((a+sqrt(4+a^2))/2, 1000);
numtheory[cfrac](%, 200, 'quotients') ;
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MATHEMATICA
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ContinuedFraction[(EulerGamma+Sqrt[4+EulerGamma^2])/2, 100] (* G. C. Greubel, Aug 30 2018 *)
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PROG
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(PARI) default(realprecision, 100); contfrac((Euler + sqrt(4 + Euler^2))/2) \\ G. C. Greubel, Aug 30 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); ContinuedFraction((EulerGamma(R) + Sqrt(4+EulerGamma(R)^2))/2); // G. C. Greubel, Aug 30 2018
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CROSSREFS
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KEYWORD
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nonn,cofr
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AUTHOR
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STATUS
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approved
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