cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A102525 Decimal expansion of log(2)/log(3).

Original entry on oeis.org

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
Offset: 0

Views

Author

Robert G. Wilson v, Jan 13 2005

Keywords

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.

Examples

			log(2)/log(3) = 0.63092975357145743709952711434276085429958564...

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

Crossrefs

Cf. A020857, A100831.

Programs

  • Maple
    evalf(log(2)/log(3),100); # Bernard Schott, Feb 02 2023
  • Mathematica
    RealDigits[Log[3, 2], 10, 111][[1]]
  • PARI
    log(2)/log(3) \\ Altug Alkan, Apr 19 2016

Formula

Equals A100831 / 2.
Equals 1 / A020857. - Bernard Schott, Feb 02 2023

A152566 Decimal expansion of log_3(10).

Original entry on oeis.org

2, 0, 9, 5, 9, 0, 3, 2, 7, 4, 2, 8, 9, 3, 8, 4, 6, 0, 4, 2, 9, 6, 5, 6, 7, 5, 2, 2, 0, 2, 1, 4, 0, 1, 2, 5, 0, 6, 0, 7, 5, 1, 8, 0, 0, 6, 7, 9, 7, 9, 3, 0, 1, 1, 6, 9, 2, 3, 5, 4, 5, 3, 3, 8, 6, 3, 4, 1, 7, 7, 4, 7, 7, 5, 7, 1, 9, 4, 0, 6, 2, 8, 7, 1, 6, 7, 6, 5, 8, 0, 2, 3, 0, 8, 9, 8, 1, 2, 3
Offset: 1

Views

Author

N. J. A. Sloane, Oct 28 2009

Keywords

Examples

			2.0959032742893846042965675220214012506075180067979301169235...

Links

Crossrefs

Cf. A102524, A100831, A113209, A102525, A152565, A113210, A152566, A152549, A152564.

Programs

A102447 Decimal expansion of log_3(20).

Original entry on oeis.org

2, 7, 2, 6, 8, 3, 3, 0, 2, 7, 8, 6, 0, 8, 4, 2, 0, 4, 1, 3, 9, 6, 0, 9, 4, 6, 3, 6, 3, 6, 4, 1, 6, 2, 1, 0, 4, 9, 0, 7, 1, 0, 3, 6, 4, 6, 9, 2, 9, 8, 1, 0, 5, 4, 4, 7, 9, 4, 2, 0, 0, 2, 8, 2, 4, 7, 2, 8, 6, 2, 6, 7, 8, 9, 5, 2, 8, 5, 5, 4, 3, 3, 7, 7, 7, 9, 3, 8, 4, 9, 0, 8, 5, 8, 4, 3, 2, 9, 8, 2, 5, 6, 1, 2, 0
Offset: 1

Views

Author

Robert G. Wilson v, Feb 23 2005

Keywords

Comments

Hausdorff dimension of Menger sponge.

Examples

			2.72683302786084204139609463636416210490710364692981054479420028247...

References

  • Manfred Schroeder, Fractals, Chaos, Power Laws, Freeman,1991, p. 179.
  • Ian Stewart, Does God Play Dice?, The New Mathematics of Chaos, 2nd Ed., Blackwell Pub'l., Malden MA, 2002, p. 207.

Links

Crossrefs

Cf. A100831, A102525, A113210, A152564.

Programs

  • Mathematica
    RealDigits[ Log[3, 20], 10, 111][[1]]
  • PARI
    log(20)/log(3) \\ Michel Marcus, Jul 19 2020

A228375 Decimal expansion of log_3(25).

Original entry on oeis.org

2, 9, 2, 9, 9, 4, 7, 0, 4, 1, 4, 3, 5, 8, 5, 4, 3, 3, 4, 3, 9, 4, 0, 8, 0, 8, 1, 5, 3, 5, 7, 2, 8, 0, 7, 9, 2, 6, 1, 5, 8, 6, 4, 7, 3, 3, 3, 3, 2, 0, 9, 9, 3, 7, 8, 1, 0, 5, 7, 8, 0, 7, 8, 9, 5, 9, 0, 9, 8, 4, 5, 5, 2, 3, 8, 2, 0, 5, 1, 6, 4, 7, 3, 1, 1, 1, 8
Offset: 1

Views

Author

Vincenzo Librandi, Aug 29 2013

Keywords

Examples

			2.92994704143585433439408081535728079261586473333209937810578078959098...

Links

Crossrefs

Cf. decimal expansion of log_3(m): A102525 (m=2), A100831 (m=4), A113209 (m=5), A153459 (m=6), A152565 (m=7), A113210 (m=8), A152566 (m=10), A154175 (m=11), A154196 (m=12), A154217 (m=13), A154463 (m=14), A154542 (m=15), A154751 (m=16), A154848 (m=17), A152549 (m=18), A155003 (m=19), A102447 (m=20), A155541 (m=21), A155694 (m=22), A155808 (m=23), A155922 (m=24), this sequence, A152564 (m=26).

Programs

  • Mathematica
    RealDigits[Log[3, 25], 10, 100][[1]]

Formula

Equals 2*A113209. - R. J. Mathar, Sep 08 2013
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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