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.

A215749 Continued fraction expansion of log_10(3).

Original entry on oeis.org

0, 2, 10, 2, 2, 1, 13, 1, 7, 18, 2, 2, 1, 2, 3, 4, 1, 1, 14, 2, 44, 1, 3, 1, 14, 2, 2, 1, 1, 2, 30, 1, 1, 3, 2, 4, 3, 7, 2, 6, 8, 1, 2, 7, 62, 1, 3, 4, 60, 1, 89, 3, 3, 1, 1, 7, 3, 3, 2, 4, 2, 2, 1, 25, 2, 6, 2, 2, 1, 3, 2, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 3, 66
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Crossrefs

Cf. A114490 (decimal expansion), A215753, A215757 (convergents).
Cf. A028232, A215750, A082571, A215752 (continued fraction expansion of log_2(10), log_10(6), log_10(7), log_10(11)).

Programs

  • Mathematica
    ContinuedFraction[Log10[3],120] (* Harvey P. Dale, Nov 24 2017 *)
  • PARI
    default(realprecision,99); contfrac(log(3)/log(10))

Extensions

a(0)=0 prepended by Andrew Howroyd, Jul 09 2024

A215750 Continued fraction expansion for log_10(6).

Original entry on oeis.org

0, 1, 3, 1, 1, 32, 1, 1, 278, 1, 1, 2, 5, 1, 4, 1, 3, 7, 1, 1, 44, 1, 4, 2, 1, 1, 2, 8, 2, 1, 5, 1, 1, 4, 3, 1, 9, 17, 1, 1, 12, 2, 1, 1, 80, 3, 10, 1, 2, 63, 3, 3, 2, 1, 1, 16, 2, 5, 3, 2, 1, 2, 12, 3, 1, 5, 4, 191, 165, 1, 6, 5, 28, 1, 1, 4, 1, 3, 1, 5, 2
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Crossrefs

Cf. A153496 (decimal expansion), A215754, A215758 (convergents).
Cf. A028232 for the continued fraction expansion for log_2(10).
Cf. A215749 for the continued fraction expansion for log_10(3).
Cf. A082571 for the continued fraction expansion for log_10(7).
Cf. A215752 for the continued fraction expansion for log_10(11).

Programs

  • PARI
    default(realprecision,99); contfrac(log(6)/log(10))

Extensions

a(0)=0 prepended by Andrew Howroyd, Jul 09 2024

A215756 Denominators of the continued fraction convergents of log_10(11).

Original entry on oeis.org

1, 24, 145, 459, 1063, 1522, 2585, 9277, 11862, 21139, 33001, 318148, 351149, 1371595, 1722744, 3094339, 4817083, 22362671, 27179754, 103901933, 131081687, 3643107482, 3774189169, 14965674989, 78602564114, 93568239103, 265739042320, 890785366063, 37678724416966, 339999305118757, 377678029535723
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Comments

11^a(n) gets increasingly close to 10^(numerator of convergent)

Crossrefs

Numerators are in A215760.
Cf. A046104, A073733, A154182, A215752.

Programs

  • PARI
    {my(cf=contfrac(log(11)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

A215760 Numerators of the continued fraction convergents of log_10(11).

Original entry on oeis.org

1, 25, 151, 478, 1107, 1585, 2692, 9661, 12353, 22014, 34367, 331317, 365684, 1428369, 1794053, 3222422, 5016475, 23288322, 28304797, 108202713, 136507510, 3793905483, 3930412993, 15585144462, 81856135303, 97441279765, 276738694833, 927657364264
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Comments

11^(Denominators of convergents) get increasingly closer to 10^a(n), approximately a(n) digits.

Crossrefs

Denominators are in A215756.
Cf. A046104, A073733, A154182, A215752.

Programs

  • Mathematica
    Convergents[Log10[11],30]//Numerator (* Harvey P. Dale, Dec 20 2024 *)
  • PARI
    {my(cf=contfrac(log(11)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[1, 1])}

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024
Showing 1-4 of 4 results.

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

Content is available under The OEIS End-User License Agreement.