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A100831
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Decimal expansion of log(4)/log(3).
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3
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1, 2, 6, 1, 8, 5, 9, 5, 0, 7, 1, 4, 2, 9, 1, 4, 8, 7, 4, 1, 9, 9, 0, 5, 4, 2, 2, 8, 6, 8, 5, 5, 2, 1, 7, 0, 8, 5, 9, 9, 1, 7, 1, 2, 8, 0, 2, 6, 3, 7, 6, 0, 8, 5, 5, 7, 4, 1, 3, 0, 9, 8, 8, 7, 6, 7, 7, 3, 7, 0, 4, 0, 2, 7, 6, 1, 8, 2, 9, 6, 1, 0, 1, 2, 2, 3, 4, 5, 3, 7, 7, 0, 9, 8, 9, 0, 3, 4, 9, 1, 1, 2, 2, 7, 0
(list;
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OFFSET
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1,2
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COMMENTS
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log_3(4) is the Hausdorff dimension of the Koch snowflake.
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REFERENCES
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M. Gardner, Aha! Gotcha!,"A Pathological Curve", pp. 77 W.H.Freeman NY 1982.
Martin Gardner's Sixth Book of Mathematical Diversions from Scientific American, pp. 227 Univ.of Chicago Press IL 1983.
M. Gardner, The Colossal Book of Mathematics, pp. 322 W.W.Norton NY 2001.
Nigel Lesmoir-Gordon, Will Rood and Ralph Edney, Introducing Fractal Geometry, Totem Books USA, Lanham, MD, 2001, page 28.
Manfred Schroeder, Fractals, Chaos, Power Laws, Freeman,1991, p. 177.
D. Wells, The Penguin Dictionary of Curious and Interesting Geometry, pp. 135-6 Penguin Books 1991.
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LINKS
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Table of n, a(n) for n=1..105.
V. L. Almstrum, Visual Koch (Applet)
R. Ferreol & J. Mandonnet, Koch's Curve
Florida Atlantic University, Koch's Curve Applet
P. Kernan, Koch Snowflake
Kris, Koch Fractal,Koch Snowflake
M. L. Lapidus & E. P. J. Pearse, A tube formula for the Koch snowflake curve,with applications to complex dimensions
_Simon Plouffe_, log4/log3 to 10000 digits
L. Riddle, Koch Curve
A. Schuler, Chaos and fractal:the Koch's curve
J. Tucek, Fractal Dimensions
G. Villemin's Almanac of Numbers, Koch's Curve or Snowflake
Wikipedia, Koch curve
A. Krowne, PlanetMath.org, Koch curve
Eric Weisstein's World of Mathematics, Koch Snowflake
Eric Weisstein's World of Mathematics, Cantor Dust
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EXAMPLE
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log(4)/log(3)=1.261859507142914874199054228685521708599171280263760...
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MATHEMATICA
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RealDigits[ Log[3, 4], 10, 111][[1]] from Robert G. Wilson v Jan 07 2005
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CROSSREFS
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Cf. A094148.
Sequence in context: A136764 A136765 A011041 * A136763 A109530 A111519
Adjacent sequences: A100828 A100829 A100830 * A100832 A100833 A100834
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KEYWORD
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nonn,cons
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AUTHOR
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Lekraj Beedassy, Jan 07 2005
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EXTENSIONS
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More terms from Robert G. Wilson v, Jan 07 2005
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STATUS
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approved
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