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 A102525 Decimal expansion of log(2)/log(3). 9
 6, 3, 0, 9, 2, 9, 7, 5, 3, 5, 7, 1, 4, 5, 7, 4, 3, 7, 0, 9, 9, 5, 2, 7, 1, 1, 4, 3, 4, 2, 7, 6, 0, 8, 5, 4, 2, 9, 9, 5, 8, 5, 6, 4, 0, 1, 3, 1, 8, 8, 0, 4, 2, 7, 8, 7, 0, 6, 5, 4, 9, 4, 3, 8, 3, 8, 6, 8, 5, 2, 0, 1, 3, 8, 0, 9, 1, 4, 8, 0, 5, 0, 6, 1, 1, 7, 2, 6, 8, 8, 5, 4, 9, 4, 5, 1, 7, 4, 5, 5, 6, 1, 3, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS log_3(2) is the Hausdorff dimension of the Cantor set. Comment from Stanislav Sykora, Apr 19 2016: Twice this value is the Hausdorff dimension of the Koch curve, as well as of the 2D Cantor dust. Three times its value is the Hausdorff dimension of the Sierpinski carpet, as well as of the 3D Cantor dust. More in general, N times its value is the Hausdorff dimension of N-dimensional Cantor dust. This number is known to be transcendental. REFERENCES K. J. Falconer, The Geometry of Fractal Sets, Cambridge, 1985, see p. 14. G. H. Hardy, E.M. Wright, An Introduction to the Theory of Numbers, 5th Edition, Oxford University Press, ISBN 978-0198531715, 1979, p. 162. Nigel Lesmoir-Gordon, Will Rood and Ralph Edney, Introducing Fractal Geometry, Totem Books USA, Lanham, MD, 2001, page 28. LINKS Turnbull WWW Server, Felix Hausdorff. Eric Weisstein's World of Mathematics, Cantor Set Eric Weisstein's World of Mathematics, Transcendental Number Wikipedia, Cantor set Wikipedia, Hausdorff dimension. Wikipedia, List of fractals by Hausdorff dimension Wikipedia, Koch snowflake Wikipedia, Sierpinski carpet FORMULA Equals A100831 / 2. EXAMPLE log(2)/log(3) = 0.63092975357145743709952711434276085429958564... MATHEMATICA RealDigits[Log[3, 2], 10, 111][[1]] PROG (PARI) log(2)/log(3) \\ Altug Alkan, Apr 19 2016 CROSSREFS Sequence in context: A191896 A100125 A153459 * A119923 A204420 A102410 Adjacent sequences:  A102522 A102523 A102524 * A102526 A102527 A102528 KEYWORD cons,nonn AUTHOR Robert G. Wilson v, Jan 13 2005 STATUS approved

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Last modified December 15 00:30 EST 2019. Contains 329988 sequences. (Running on oeis4.)