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A051008 Continued fraction expansion of sqrt(2*log(2)). 2

%I #23 Sep 08 2022 08:44:58

%S 1,5,1,1,1,3,27,1,1,1,1,24,1,3,1,24,1,6,1,8,1,11,1,3,1079,1,3,1,1,6,1,

%T 3,10,167,1,5,1,1,2,4,6,2,1,3,2,1,2,2,9,4,5,1,20,1,3,1,2,1,19,12,4,2,

%U 1,2,4,46,2,3,20,2,1,1,2,1,5,1,1,1,1,1,1,2,3,2,6,1,2,1,13,12,4,2,1,2,19,2,1

%N Continued fraction expansion of sqrt(2*log(2)).

%H Harry J. Smith, <a href="/A051008/b051008.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 1.177410022515474691011569326... = 1 + 1/(5 + 1/(1 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, Sep 20 2009

%t ContinuedFraction[Sqrt[2Log[2]],100] (* _Harvey P. Dale_, Aug 10 2011 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(2*log(2))); for (n=1, 20000, write("b051008.txt", n, " ", x[n])) } \\ _Harry J. Smith_, Sep 20 2009

%o (Magma) SetDefaultRealField(RealField(150)); ContinuedFraction(Sqrt(2*Log(2))); // _G. C. Greubel_, Aug 16 2018

%Y Cf. A064619.

%K nonn,cofr

%O 1,2

%A _N. J. A. Sloane_, Jun 07 2002

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