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Search: id:A010502
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| A010502 |
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Decimal expansion of square root of 48. |
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+0
3
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| 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; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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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]
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REFERENCES
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J. N. Kapur, Mathematics Enjoyment For The Millions, Problem 47 pp. 64-7, Arya Book Depot, New Delhi 2000.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
L. Riddle, Area of the Koch Snowflake
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EXAMPLE
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6.928203230275509174109785366023489467771221015241522512223227917807732... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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PROGRAM
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(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]
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CROSSREFS
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Cf. A040041 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
Adjacent sequences: A010499 A010500 A010501 this_sequence A010503 A010504 A010505
Sequence in context: A072364 A087016 A161480 this_sequence A129938 A022698 A013707
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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