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

 

Logo


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.

A transcendental number. Also the Hausdorff dimension of 2D Cantor dust (for N-dimensional Cantor dust, see A102525). - Stanislav Sykora, Apr 19 2016

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, arXiv:math-ph/0412029, 2004-2005.

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

FORMULA

Equals 2*A102525. - Stanislav Sykora, Apr 19 2016

EXAMPLE

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

MATHEMATICA

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

PROG

(PARI) log(4)/log(3) \\ Altug Alkan, Apr 19 2016

CROSSREFS

Cf. A094148, A102525.

Sequence in context: A136764 A136765 A011041 * A136763 A109530 A264789

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.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 24 18:00 EDT 2016. Contains 274187 sequences.