A094148 -id:A094148 - cp's OEIS frontend

A154849 Decimal expansion of log_4 (17).

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.0437314206251697041270330054052021770056336411724103440633...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), this sequence, A154909 (m=18), A155004 (m=19), A155183 (m=20), A155545 (m=21), A155695 (m=22), A155818 (m=23), A155936 (m=24).

RealDigits[Log[4, 17], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

A154909 Decimal expansion of log_4 (18).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.0849625007211561814537389439478165087598144076924810604557...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. A020857 (log_2(3)).

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), this sequence, A155004 (m=19), A155183 (m=20), A155545 (m=21), A155695 (m=22), A155818 (m=23), A155936 (m=24).

RealDigits[Log[4, 18], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

Equals A020857+1/2. - R. J. Mathar, Feb 15 2025

A155004 Decimal expansion of log_4 (19).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.1239637567217927468967597114534172113467537848307670072907...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), A154909 (m=18), this sequence, A155183 (m=20), A155545 (m=21), A155695 (m=22), A155818 (m=23), A155936 (m=24).

Cf. A016627, A016642.

RealDigits[Log[4, 19], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

log(19)/log(4) \\ Stefano Spezia, Apr 04 2025

A155183 Decimal expansion of log_4 (20).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.1609640474436811739351597147446950879324156965122903060273...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), A154909 (m=18), A155004 (m=19), this sequence, A155545 (m=21), A155695 (m=22), A155818 (m=23), A155936 (m=24).

RealDigits[Log[4, 20], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

Equals 1/2+ A154155 = 1 + A153201. - R. J. Mathar, May 25 2023

A155545 Decimal expansion of log_4 (21).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.1961587113893801444478541305898236587004205168293109220665...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), A154909 (m=18), A155004 (m=19), A155183 (m=20), this sequence, A155695 (m=22), A155818 (m=23), A155936 (m=24).

RealDigits[Log[4, 21], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

A155695 Decimal expansion of log_4 (22).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.2297158093186486280996815233628964793516157628408840356564...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), A154909 (m=18), A155004 (m=19), A155183 (m=20), A155545 (m=21), this sequence, A155818 (m=23), A155936 (m=24).

RealDigits[Log[4,22],10,100][[1]]  (* Harvey P. Dale, Apr 18 2011 *)

A155818 Decimal expansion of log_4 (23).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.2617809780285064361470741220813344222494125627212775297472...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), A154909 (m=18), A155004 (m=19), A155183 (m=20), A155545 (m=21), A155695 (m=22), this sequence, A155936 (m=24).

RealDigits[Log[4, 23], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

A155936 Decimal expansion of log_4 (24).

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Oct 30 2009

			2.2924812503605780907268694719739082543799072038462405302278...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_4(m): A094148 (m=3), A153201 (m=5), A153460 (m=6), A153615 (m=7), A154155 (m=10), A154176 (m=11), A154197 (m=12), A154224 (m=13), A154464 (m=14), A154543 (m=15), A154849 (m=17), A154909 (m=18), A155004 (m=19), A155183 (m=20), A155545 (m=21), A155695 (m=22), A155818 (m=23), this sequence.

RealDigits[Log[4, 24], 10, 100][[1]] (* Vincenzo Librandi, Aug 30 2013 *)

3/2 + A094148. - R. J. Mathar, Sep 24 2011

A100831 Decimal expansion of log(4)/log(3).

Original entry on oeis.org

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

Offset: 1

Lekraj Beedassy, Jan 07 2005

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

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

Martin Gardner, Aha! Gotcha!, "A Pathological Curve", W. H. Freeman, NY, 1982, p. 77.
Martin Gardner's Sixth Book of Mathematical Diversions from Scientific American, University of Chicago Press, IL, 1983, p. 227.
Martin Gardner, The Colossal Book of Mathematics, W. W. Norton, NY, 2001, p. 322.
Nigel Lesmoir-Gordon, Will Rood and Ralph Edney, Introducing Fractal Geometry, Totem Books USA, Lanham, MD, 2001, p. 28.
Manfred Schroeder, Fractals, Chaos, Power Laws, Freeman, 1991, p. 177.
David Wells, The Penguin Dictionary of Curious and Interesting Geometry, Penguin Books, 1991, pp. 135-136.

V. L. Almstrum, Visual Koch (Applet).
Robert Ferreol and 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.
Index entries for transcendental numbers

Cf. A094148, A102525.

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

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

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

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

cp's OEIS Frontend

A154849 Decimal expansion of log_4 (17).

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A154909 Decimal expansion of log_4 (18).

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A155004 Decimal expansion of log_4 (19).

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A155183 Decimal expansion of log_4 (20).

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A155545 Decimal expansion of log_4 (21).

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A155695 Decimal expansion of log_4 (22).

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A155818 Decimal expansion of log_4 (23).

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A155936 Decimal expansion of log_4 (24).

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A100831 Decimal expansion of log(4)/log(3).

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