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.

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))

A215755 Denominators of the continued fraction convergents of log_10(7).

Original entry on oeis.org

1, 1, 6, 13, 71, 439, 510, 2455069, 2455579, 4910648, 12276875, 29464398, 71205671, 100670069, 171875740, 272545809, 1807150594, 9308298779, 11115449373, 931890596738, 6534349626539, 14000589849816, 20534939476355, 34535529326171, 55070468802526, 475099279746379, 2430566867534421
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Comments

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

Crossrefs

Numerators are in A215759.
Cf. A046104, A073733, A082571, A153620.

Programs

  • Mathematica
    Rest[Denominator[Convergents[Log[10,7],30]]] (* Harvey P. Dale, Aug 23 2013 *)
  • PARI
    {my(cf=contfrac(log(7)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[2, 1])}

Extensions

a(0)=1 prepended by Andrew Howroyd, Jul 09 2024

A215759 Numerators of the continued fraction convergents of log_10(7).

Original entry on oeis.org

0, 1, 5, 11, 60, 371, 431, 2074774, 2075205, 4149979, 10375163, 24900305, 60175773, 85076078, 145251851, 230327929, 1527219425, 7866425054, 9393644479, 787538916811, 5522166062156, 11831871041123, 17354037103279, 29185908144402, 46539945247681, 401505470125850, 2054067295876931
Offset: 0

Views

Author

V. Raman, Aug 23 2012

Keywords

Comments

7^(denominator of convergent) gets increasingly close to 10^a(n), agreeing to approximately a(n) digits

Crossrefs

Denominators are in A215755.
Cf. A046104, A073733, A082571, A153620.

Programs

  • Mathematica
    Rest[Numerator[Convergents[Log[10,7],30]]] (* Harvey P. Dale, Feb 16 2014 *)
  • PARI
    {my(cf=contfrac(log(7)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[1, 1])}

Extensions

a(0)=0 prepended by Andrew Howroyd, Jul 09 2024
Showing 1-5 of 5 results.

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