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A224579 Continued fraction of (gamma+sqrt(4+gamma^2))/2, where gamma is the Euler-Mascheroni constant. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Continued fraction of the constant in A224578.

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..1000

MAPLE

Digits:=200; a:=evalf(gamma, 5000); evalf((a+sqrt(4+a^2))/2, 1000);

numtheory[cfrac](%, 200, 'quotients') ;

MATHEMATICA

ContinuedFraction[(EulerGamma+Sqrt[4+EulerGamma^2])/2, 100] (* G. C. Greubel, Aug 30 2018 *)

PROG

(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

CROSSREFS

Cf. A001620, A188640, A224578

Sequence in context: A188927 A146072 A064234 * A037102 A042169 A041785

Adjacent sequences:  A224576 A224577 A224578 * A224580 A224581 A224582

KEYWORD

nonn,cofr

AUTHOR

Paolo P. Lava, Apr 11 2013

STATUS

approved

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Last modified October 18 17:13 EDT 2019. Contains 328186 sequences. (Running on oeis4.)