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 1-10 of 21 results. Next

A152935 Decimal expansion of log_6 (3).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Comments

The lower bound for the ratio of the number of x/2 steps to all steps in the Collatz iteration. - T. D. Noe, Apr 30 2010

Examples

			.61314719276545841312975386153217912353485814054289657161050...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), this sequence, A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(3)/Log(6); // G. C. Greubel, Sep 14 2018
  • Mathematica
    RealDigits[Log[6, 3], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(3)/log(6) \\ G. C. Greubel, Sep 14 2018

Formula

Equals A154911 - 1. - Bruno Berselli, Aug 31 2013

A152683 Decimal expansion of log_6 (2).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Comments

The upper bound for the ratio of the number of 3x+1 steps to all steps in the Collatz iteration. - T. D. Noe, Apr 30 2010

Examples

			.38685280723454158687024613846782087646514185945710342838949...

Links

Crossrefs

Cf. decimal expansion of log_6(m): this sequence, A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(2)/Log(6); // G. C. Greubel, Sep 13 2018
  • Mathematica
    RealDigits[Log[6,2],10,120][[1]] (* Harvey P. Dale, Sep 12 2012 *)
  • PARI
    default(realprecision, 100); log(2)/log(6) \\ G. C. Greubel, Sep 13 2018

Formula

Equals log(2)/log(6) (A002162/A016629), that is, log(2)/(log(2)+log(3)). - Michel Marcus, Aug 18 2018

A154157 Decimal expansion of log_6 (10).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.2850972089384687599434790965542895487157332132817512278701...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), this sequence, A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(10)/Log(6); // G. C. Greubel, Sep 14 2018
  • Mathematica
    RealDigits[Log[6, 10], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(10)/log(6) \\ G. C. Greubel, Sep 14 2018

A153102 Decimal expansion of log_6 (4).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			.77370561446908317374049227693564175293028371891420685677898...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), this sequence, A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(4)/Log(6); // G. C. Greubel, Sep 14 2018
  • Mathematica
    RealDigits[Log[6,4],10,120][[1]] (* Harvey P. Dale, Jan 14 2012 *)
  • PARI
    default(realprecision, 100); log(4)/log(6) \\ G. C. Greubel, Sep 14 2018

Formula

Equals A155959 - 1. - Bruno Berselli, Aug 31 2013

A153202 Decimal expansion of log_6 (5).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			.89824440170392717307323295808646867225059135382464779948069...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), this sequence, A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(5)/Log(6); // G. C. Greubel, Sep 14 2018
  • Mathematica
    RealDigits[Log[6, 5], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(5)/log(6) \\ G. C. Greubel, Sep 14 2018

A153617 Decimal expansion of log_6 (7).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.0860331325016918429860420509278213329187809552011929948871...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), A153202 (m=5), this sequence, A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(7)/Log(6); // G. C. Greubel, Sep 14 2018
  • Mathematica
    RealDigits[Log[6, 7], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(7)/log(6) \\ G. C. Greubel, Sep 14 2018

A153754 Decimal expansion of log_6 (8).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.1605584217036247606107384154034626293954255783713102851684...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), this sequence, A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(8)/Log(6); // G. C. Greubel, Sep 14 2018
  • Mathematica
    RealDigits[Log[6, 8], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(8)/log(6) \\ G. C. Greubel, Sep 14 2018

A154178 Decimal expansion of log_6 (11).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.3382908331057725399584176108729831984116568172210398565716...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), this sequence, A154199 (m=12), A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(11)/Log(6); // G. C. Greubel, Sep 13 2018
  • Mathematica
    RealDigits[Log[6, 11], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(11)/log(6) \\ G. C. Greubel, Sep 13 2018

A154199 Decimal expansion of log_6 (12).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.3868528072345415868702461384678208764651418594571034283894...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), this sequence, A154278 (m=13), A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(12)/Log(6); // G. C. Greubel, Sep 13 2018
  • Mathematica
    RealDigits[Log[6, 12], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(12)/log(6) \\ G. C. Greubel, Sep 13 2018

Formula

Equals 1+A152683. - R. J. Mathar, Jun 24 2024

A154278 Decimal expansion of log_6 (13).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Oct 30 2009

Keywords

Examples

			1.4315254929650773279056993115691946294551037482519582118196...

Links

Crossrefs

Cf. decimal expansion of log_6(m): A152683 (m=2), A152935 (m=3), A153102 (m=4), A153202 (m=5), A153617 (m=7), A153754 (m=8), A154009 (m=9), A154157 (m=10), A154178 (m=11), A154199 (m=12), this sequence, A154466 (m=14), A154567 (m=15), A154776 (m=16), A154856 (m=17), A154911 (m=18), A155044 (m=19), A155490 (m=20), A155554 (m=21), A155697 (m=22), A155823 (m=23), A155959 (m=24).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); Log(13)/Log(6); // G. C. Greubel, Sep 13 2018
  • Mathematica
    RealDigits[Log[6, 13], 10, 100][[1]] (* Vincenzo Librandi, Aug 31 2013 *)
  • PARI
    default(realprecision, 100); log(13)/log(6) \\ G. C. Greubel, Sep 13 2018
Showing 1-10 of 21 results. Next

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

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