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A010464 Decimal expansion of square root of 6. 34
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^2 where t, o and c are respectively the edge lengths of a tetrahedron, an octahedron and a cube whose total surface areas are the same. See CNRS links. - Michel Marcus, Mar 03 2022 and Apr 21 2016
LINKS
R. J. Nemiroff and J. Bonnell, Plouffe's Inverter, The first 1 million digits of the square root of 6 [Broken link]
Ana Rechtman, Avril 2016, 2e défi, Images des Mathématiques, CNRS, 2016.
Ana Rechtman, Avril 2016, 3e défi (Solution du 2e défi d’Avril), Images des Mathématiques, 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
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified February 25 09:10 EST 2024. Contains 370313 sequences. (Running on oeis4.)