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 1-5 of 5 results.

A073733 Numerators of convergents to log_2(10).

Original entry on oeis.org

1, 3, 10, 93, 196, 485, 2136, 13301, 28738, 42039, 70777, 254370, 325147, 6107016, 6432163, 44699994, 51132157, 146964308, 198096465, 345060773, 1578339557, 1923400330, 82361153417, 496090320832, 578451474249, 2809896217828, 6198243909905, 21404627947543
Offset: 0

Views

Author

Joseph Myers, Sep 01 2002

Keywords

Comments

This power of two is closer to some power of ten than any previous power of two. - Robert G. Wilson v, Aug 22 2013

Crossrefs

Denominators are A046104. Continued fraction expansion is A028232.

Programs

  • Mathematica
    Join[{1},Numerator[Convergents[Log[2,10],40]]] (* Harvey P. Dale, Jun 22 2014 *)

Extensions

More terms from Harvey P. Dale, Jun 22 2014

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

A215752 Continued fraction expansion for log_10(11).

Original entry on oeis.org

1, 24, 6, 3, 2, 1, 1, 3, 1, 1, 1, 9, 1, 3, 1, 1, 1, 4, 1, 3, 1, 27, 1, 3, 5, 1, 2, 3, 42, 9, 1, 2, 1, 2, 26, 1, 1, 2, 1, 1, 2, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 20, 1, 2, 1, 1, 1, 4, 1, 2, 5, 9, 2, 1, 1, 2, 68, 3, 1, 2, 5, 3, 2, 21, 1, 2, 39, 1, 3, 1, 2, 1, 1, 3, 5
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Crossrefs

Cf. A154182 (decimal expansion), A215756, A215760 (convergents).
Cf. A028232 for the continued fraction expansion for log_2(10).
Cf. A215749 for the continued fraction expansion for log_10(3).
Cf. A215750 for the continued fraction expansion for log_10(6).
Cf. A082571 for the continued fraction expansion for log_10(7).

Programs

  • PARI
    default(realprecision,99); contfrac(log(11)/log(10))

A028508 Continued fraction expansion for log_2(5).

Original entry on oeis.org

2, 3, 9, 2, 2, 4, 6, 2, 1, 1, 3, 1, 18, 1, 6, 1, 2, 1, 1, 4, 1, 42, 6, 1, 4, 2, 3, 1, 2, 6, 1, 3, 4, 1, 8, 1, 4, 1, 2, 2, 7, 1, 4, 1, 1, 3, 3, 1, 3, 1, 1, 7, 6, 1, 5, 10, 2, 2, 1, 8, 1, 2, 16, 24, 1, 6, 1, 8, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1
Offset: 1

Views

Author

Keywords

Programs

  • Mathematica
    ContinuedFraction[Log[2,5],80] (* Harvey P. Dale, Jun 24 2011 *)

Formula

a(n)=A028232(n), n>1. - R. J. Mathar, Oct 23 2008
Showing 1-5 of 5 results.