

A010502


Decimal expansion of square root of 48.


11



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
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OFFSET

1,1


COMMENTS

sqrt(48)/10 is the area enclosed by Koch's fractal snowflake based on unitsided equilateral triangle (actually 8/5 times the latter's area).  Lekraj Beedassy, Jan 06 2005
7+sqrt(48) is the ratio of outer to inner Soddy circles' radii for three identical kissing circles.  Lekraj Beedassy, Feb 14 2006
Continued fraction expansion is 6 followed by {1, 12} repeated.  Harry J. Smith, Jun 06 2009


REFERENCES

J. N. Kapur, Mathematics Enjoyment For The Millions, Problem 47 pp. 6467, 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.  R. J. Mathar, Jul 31 2010


EXAMPLE

6.928203230275509174109785366023489467771221015241522512223227917807732...  Harry J. Smith, Jun 06 2009


MATHEMATICA

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


PROG

(PARI) { default(realprecision, 20080); x=sqrt(48); for (n=1, 20000, d=floor(x); x=(xd)*10; write("b010502.txt", n, " ", d)); } \\ Harry J. Smith, Jun 06 2009


CROSSREFS

Cf. A040041 Continued fraction.  Harry J. Smith, Jun 06 2009
Sequence in context: A198676 A198616 A215668 * A254292 A188618 A225125
Adjacent sequences: A010499 A010500 A010501 * A010503 A010504 A010505


KEYWORD

nonn,cons


AUTHOR

N. J. A. Sloane


STATUS

approved



