A190257 Continued fraction expansion of sqrt((3 + x + sqrt(9+6*x))/2), where x=sqrt(6).

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, 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, 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

Offset: 0

Author

Clark Kimberling, May 06 2011

Keywords

• nonn
• cofr

Comments

See A190256.

Examples

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

Crossrefs

Cf. A190256 (decimal expansion).

Programs

Magma

ContinuedFraction(Sqrt((3+Sqrt(6)+Sqrt(9+6*Sqrt(6)))/2)); // G. C. Greubel, Dec 26 2017

Mathematica

ContinuedFraction[Sqrt[(3 + Sqrt[6] + Sqrt[9 + 6*Sqrt[6]])/2], 100] (* G. C. Greubel, Dec 26 2017 *)

PARI

contfrac(sqrt((3+sqrt(6)+sqrt(9+6*sqrt(6)))/2)) \\ G. C. Greubel, Dec 26 2017

Extensions

Definition corrected by Bruno Berselli, May 13 2011

Name corrected by T. D. Noe, Feb 25 2013

Offset changed by Andrew Howroyd, Aug 07 2024