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A190257
Continued fraction expansion of sqrt((3 + x + sqrt(9+6*x))/2), where x=sqrt(6).
1
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.
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
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