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

0,1

Comments

See A190256.

Links

Table of n, a(n) for n=0..89.

Example

2.271281562422994142313058... - N. J. A. Sloane, Feb 25 2013

Mathematica

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

Prog

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

Crossrefs

Cf. A190256 (decimal expansion).

Sequence in context: A139246 A187247 A131227 * A050981 A053452 A023986

Adjacent sequences: A190254 A190255 A190256 * A190258 A190259 A190260

Keyword

nonn,cofr

Author

Clark Kimberling, May 06 2011

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

Status

approved