A190257 - OEIS

%I #32 Aug 22 2024 11:59:22

%S 2,3,1,2,5,2,1,5,95,1,1,2,1,9,3,1,1,53,1,1,1,2,3,1,7,5,1,3,8,1,5,4,1,

%T 18,1,1,6,2,25,3,5,1,5,2,4,2,1,1,43,1,1,8,1,24,3,21,1,7,4,1,13,2,1,2,

%U 1,1811,1,3,9,1,9,2,1,1,1,2,2,23,1,1,2,1,8,6,6,2,2,2,1,18

%N Continued fraction expansion of sqrt((3 + x + sqrt(9+6*x))/2), where x=sqrt(6).

%C See A190256.

%e 2.271281562422994142313058... - _N. J. A. Sloane_, Feb 25 2013

%t ContinuedFraction[Sqrt[(3 + Sqrt[6] + Sqrt[9 + 6*Sqrt[6]])/2], 100] (* _G. C. Greubel_, Dec 26 2017 *)

%o (PARI) contfrac(sqrt((3+sqrt(6)+sqrt(9+6*sqrt(6)))/2)) \\ _G. C. Greubel_, Dec 26 2017

%o (Magma) ContinuedFraction(Sqrt((3+Sqrt(6)+Sqrt(9+6*Sqrt(6)))/2)); // _G. C. Greubel_, Dec 26 2017

%Y Cf. A190256 (decimal expansion).

%K nonn,cofr

%O 0,1

%A _Clark Kimberling_, May 06 2011

%E Definition corrected by _Bruno Berselli_, May 13 2011

%E Name corrected by _T. D. Noe_, Feb 25 2013

%E Offset changed by _Andrew Howroyd_, Aug 07 2024