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
Examples
2.271281562422994142313058... - _N. J. A. Sloane_, Feb 25 2013
Crossrefs
Cf. A190256 (decimal expansion).
Programs
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Magma
ContinuedFraction(Sqrt((3+Sqrt(6)+Sqrt(9+6*Sqrt(6)))/2)); // G. C. Greubel, Dec 26 2017
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Mathematica
ContinuedFraction[Sqrt[(3 + Sqrt[6] + Sqrt[9 + 6*Sqrt[6]])/2], 100] (* G. C. Greubel, Dec 26 2017 *)
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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
Comments