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 A010464 Decimal expansion of square root of 6. 31
 2, 4, 4, 9, 4, 8, 9, 7, 4, 2, 7, 8, 3, 1, 7, 8, 0, 9, 8, 1, 9, 7, 2, 8, 4, 0, 7, 4, 7, 0, 5, 8, 9, 1, 3, 9, 1, 9, 6, 5, 9, 4, 7, 4, 8, 0, 6, 5, 6, 6, 7, 0, 1, 2, 8, 4, 3, 2, 6, 9, 2, 5, 6, 7, 2, 5, 0, 9, 6, 0, 3, 7, 7, 4, 5, 7, 3, 1, 5, 0, 2, 6, 5, 3, 9, 8, 5, 9, 4, 3, 3, 1, 0, 4, 6, 4, 0, 2, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Continued fraction expansion is 2 followed by {2, 4} repeated. - Harry J. Smith, Jun 05 2009 Ratio t*o/c where t, o and c are respectively the edge lengths of a tetrahedron, an octahedron and a cube whose areas are the same. See CNRS link. - Michel Marcus, Apr 21 2016 LINKS Harry J. Smith, Table of n, a(n) for n = 1..20000 Jason Kimberley, Index of expansions of sqrt(d) in base b R. J. Nemiroff & J. Bonnell, Plouffe's Inverter, The first 1 million digits of the square root of 6 [Broken link] R. J. Nemiroff & J. Bonnell, The first 1 million digits of the square root of 6 Ana Rechtman, Avril 2016, 3e dÃ©fi, Images des MathÃ©matiques, CNRS, 2016. FORMULA Equals A002193*A002194. - Michel Marcus, Apr 21 2016 EXAMPLE 2.449489742783178098197284074705891391965947480656670128432692567250960... Sqrt(6) = sqrt(1+i*sqrt(3)) + sqrt(1-i*sqrt(3)), where i=sqrt(-1). - Bruno Berselli, Nov 20 2012 MATHEMATICA RealDigits[N[Sqrt[6], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2011 *) PROG (PARI) { default(realprecision, 20080); x=sqrt(6); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010464.txt", n, " ", d)); } \\ Harry J. Smith, Jun 01 2009 (PARI) sqrt(6) \\ Michel Marcus, Apr 21 2016 (MAGMA) SetDefaultRealField(RealField(100)); Sqrt(6); // Vincenzo Librandi, Feb 15 2020 CROSSREFS Cf. A002193 (sqrt(2)), A002194 (sqrt(3)). Cf. A040003 (continued fraction). Sequence in context: A281122 A201777 A096189 * A187209 A006579 A227906 Adjacent sequences:  A010461 A010462 A010463 * A010465 A010466 A010467 KEYWORD nonn,cons AUTHOR STATUS approved

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Last modified May 24 18:33 EDT 2020. Contains 334580 sequences. (Running on oeis4.)