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A010502 Decimal expansion of square root of 48. 7
6, 9, 2, 8, 2, 0, 3, 2, 3, 0, 2, 7, 5, 5, 0, 9, 1, 7, 4, 1, 0, 9, 7, 8, 5, 3, 6, 6, 0, 2, 3, 4, 8, 9, 4, 6, 7, 7, 7, 1, 2, 2, 1, 0, 1, 5, 2, 4, 1, 5, 2, 2, 5, 1, 2, 2, 2, 3, 2, 2, 7, 9, 1, 7, 8, 0, 7, 7, 3, 2, 0, 6, 7, 6, 3, 5, 2, 0, 0, 1, 4, 8, 3, 2, 4, 5, 8, 4, 7, 4, 7, 0, 2, 8, 9, 9, 4, 3, 0 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

sqrt(48)/10 is the area enclosed by Koch's fractal snowflake based on unit-sided equilateral triangle (actually 8/5 times the latter's area). - Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 06 2005

7+sqrt(48) is the ratio of outer to inner Soddy circles' radii for three identical kissing circles. - Lekraj Beedassy (blekraj(AT)yahoo.com), Feb 14 2006

Continued fraction expansion is 6 followed by {1, 12} repeated. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]

REFERENCES

J. N. Kapur, Mathematics Enjoyment For The Millions, Problem 47 pp. 64-7, Arya Book Depot, New Delhi 2000.

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,20000

L. Riddle, Area of the Koch Snowflake

FORMULA

Equals 4*A002194. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2010]

EXAMPLE

6.928203230275509174109785366023489467771221015241522512223227917807732... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]

MATHEMATICA

RealDigits[N[Sqrt[48], 200]][[1]] (*From Vladimir Joseph Stephan Orlovsky, Feb 24 2011*)

PROG

(PARI) { default(realprecision, 20080); x=sqrt(48); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010502.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]

CROSSREFS

Cf. A040041 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]

Sequence in context: A161480 A198676 A198616 * A188618 A181852 A129938

Adjacent sequences:  A010499 A010500 A010501 * A010503 A010504 A010505

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 09:30 EST 2012. Contains 206009 sequences.