login
This site is supported by donations to The OEIS Foundation.

 

Logo

110 people attended OEIS-50 (videos, suggestions); annual fundraising drive to start soon (donate); editors, please edit! (stack is over 300), your editing is more valuable than any donation.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A100831 Decimal expansion of log(4)/log(3). 4
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; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

log_3(4) is the Hausdorff dimension of the Koch snowflake.

REFERENCES

Martin 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 University of Chicago Press IL 1983.

Martin 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.

David Wells, The Penguin Dictionary of Curious and Interesting Geometry, pp. 135-6 Penguin Books 1991.

LINKS

Table of n, a(n) for n=1..105.

V. L. Almstrum, Visual Koch (Applet)

Robert Ferreol & Jacques Mandonnet, Koch's Curve

Florida Atlantic University, Koch's Curve Applet

P. Kernan, Koch Snowflake

Kris, Koch Fractal,Koch Snowflake

Aaron Krowne, PlanetMath.org, Koch curve

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

Larry Riddle, Koch Curve

Alain Schuler, Chaos and fractal:the Koch's curve

Gerard Villemin, Almanac of Numbers, Koch's Curve or Snowflake

Eric Weisstein's World of Mathematics, Koch Snowflake

Eric Weisstein's World of Mathematics, Cantor Dust

Wikipedia, Koch curve

EXAMPLE

log(4)/log(3) = 1.26185950714291487419905422868552170859917128...

MATHEMATICA

RealDigits[Log[3, 4], 10, 111][[1]] (* Robert G. Wilson v, Jan 07 2005 *)

CROSSREFS

Cf. A094148.

Sequence in context: A136764 A136765 A011041 * A136763 A109530 A111519

Adjacent sequences:  A100828 A100829 A100830 * A100832 A100833 A100834

KEYWORD

nonn,cons

AUTHOR

Lekraj Beedassy, Jan 07 2005

EXTENSIONS

More terms from Robert G. Wilson v, Jan 07 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified October 30 13:49 EDT 2014. Contains 248804 sequences.