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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

R. J. Nemiroff & J. Bonnell, The first 1 million digits of the square root of 6

Ana Rechtman, Avril 2016, 3e défi, 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

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

N. J. A. Sloane

STATUS

approved

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Last modified January 17 16:39 EST 2019. Contains 319235 sequences. (Running on oeis4.)