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.

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A013683 Continued fraction for zeta(7).

Original entry on oeis.org

1, 119, 1, 3, 2, 1, 2, 1, 39, 2, 3, 12, 3, 1, 1, 1, 2, 6, 5, 1, 5, 1, 2, 1, 23, 2, 1, 5, 34, 2, 1, 1, 3, 47, 2, 1, 8, 16, 1, 4, 1, 2, 1, 1, 1, 10, 72, 1, 1, 1, 1, 1, 2, 3, 13, 1, 2, 1, 5, 1, 27, 2, 9283, 1, 36, 1, 1, 1, 1, 3, 3, 23, 27, 5, 2, 4, 1, 3, 16, 1, 4
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013665 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[7],100] (* Harvey P. Dale, Sep 13 2020 *)

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

A013684 Continued fraction for zeta(8).

Original entry on oeis.org

1, 245, 3, 1, 8, 4, 2, 3, 2, 1, 1, 4, 1, 3, 12, 2, 2, 34, 1, 1, 1, 1, 4, 9, 1, 56, 3, 38, 1, 1, 6, 1, 1, 1, 1, 3, 2, 1, 1, 5, 9, 3, 1, 11, 2, 3, 1, 5, 2, 2, 1, 4, 1, 27, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 72, 17, 1, 36, 1, 5, 6, 1, 4, 10, 1, 4, 1, 4, 1, 1, 1, 8
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013666 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[8],80] (* Harvey P. Dale, Aug 14 2020 *)

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

A013685 Continued fraction for zeta(9).

Original entry on oeis.org

1, 497, 1, 10, 5, 1, 1, 8, 3, 2, 2, 1, 2, 1, 2, 5, 4, 2, 49, 1, 3, 3, 1, 1, 2, 1, 2, 30, 4, 1, 17, 3, 8, 2, 1, 2, 1, 1, 10, 6, 9, 2, 3, 1, 22, 1, 2, 1, 1, 2, 1, 1, 2, 18, 1, 1, 1, 9, 1, 2, 9, 1, 5, 2, 4, 1, 5, 1, 2, 2, 2, 6, 1, 8, 1, 5, 1, 4, 1483, 1, 3, 1, 2, 7
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013667 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[9],100] (* Harvey P. Dale, Aug 05 2023 *)

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

A013695 Continued fraction for zeta(19).

Original entry on oeis.org

1, 524050, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 2, 5, 14, 1, 5, 1, 3, 1, 3, 1, 3, 2, 1, 1, 1, 4, 1, 9, 1, 2, 1, 6, 2, 1, 1, 1, 76, 85, 1, 8, 1, 1, 7, 12, 7, 2, 1, 2, 4, 1, 3, 1, 22, 1, 3, 6, 1, 1, 1, 1, 1, 4, 1, 11, 1, 3, 1, 2, 1, 6, 1, 9, 1, 2
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013677 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[19], 100] (* Paolo Xausa, Jul 03 2024 *)

Extensions

Offset changed by Andrew Howroyd, Aug 10 2024

A033166 Incrementally largest terms in the continued fraction for zeta(3).

Original entry on oeis.org

1, 4, 18, 30, 428, 458, 527, 542, 659, 922, 1355, 1817, 3292, 4635, 6841, 162050, 197106, 270086, 270919, 344064, 2079442, 5492021, 196362299, 220581908, 1292221854, 5841289122, 11886461834
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013631 (continued fraction of zeta(3)).
Cf. A229055 (positions of incrementally largest terms in the c.f. of zeta(3)).
Cf. A033165, A000023, A229055.

Extensions

More terms from Eric W. Weisstein, Aug 23 2000
More terms from Robert Gerbicz, Aug 22 2006
More terms from Eric W. Weisstein, Sep 16 2013
a(27) = 11886461834 from Eric W. Weisstein, Sep 17 2013

A078985 Denominators of continued fraction convergents to zeta(3).

Original entry on oeis.org

1, 4, 5, 94, 99, 193, 292, 1361, 1653, 16238, 147795, 311828, 459623, 771451, 1231074, 3233599, 23866267, 27099866, 50966133, 383862797, 4273456900, 4657319697, 8930776597, 13588096294, 49695065479, 63283161773, 429394036117, 492677197890, 15209709972817, 15702387170707
Offset: 0

Views

Author

Benoit Cloitre, Dec 20 2002

Keywords

Crossrefs

Cf. A002117, A078984 (numerators), A013631 (continued fraction).

Programs

  • Mathematica
    Convergents[Zeta[3], 30] // Denominator (* Amiram Eldar, May 05 2025 *)
  • PARI
    a(n)=component(component(contfracpnqn(contfrac(zeta(3),n+1)),1),2);

Extensions

Offset changed by Andrew Howroyd, Jul 10 2024
More terms from Amiram Eldar, May 05 2025

A229055 Positions of the incrementally largest terms in the continued fraction expansion of zeta(3).

Original entry on oeis.org

0, 1, 3, 28, 62, 571, 1555, 2012, 2529, 2759, 3018, 4158, 4740, 6819, 10564, 11665, 32858, 139892, 392129, 707969, 1049721, 2081164, 14990403, 36112275, 39552834, 42710786, 199618805
Offset: 1

Views

Author

Eric W. Weisstein, Sep 16 2013

Keywords

Comments

A033167 has the same information but indexed differently. - N. J. A. Sloane, Jun 16 2021

Links

Crossrefs

Cf. A033166, A033167 (= a(n) + 1), A013631 (continued fraction for zeta(3)).

Formula

A033166(n) = A013631(a(n)). - Andrew Howroyd, Jul 10 2024

Extensions

a(27) = 199618805 from Eric W. Weisstein, Sep 17 2013

A013686 Continued fraction for zeta(10).

Original entry on oeis.org

1, 1005, 2, 4, 1, 98, 7, 11, 2, 1, 1, 6, 2, 3, 28, 1, 37, 1, 2, 7, 9, 13, 85, 4, 3, 34, 5, 3, 7, 4, 7, 1, 3, 2, 1, 22, 1, 1, 1, 1, 3, 15, 1, 9, 12, 1, 3, 3, 3, 1, 3, 2, 1, 2, 1, 1, 2, 10, 8, 2, 2, 11, 54, 4, 5, 1, 2, 2, 1, 3, 2, 1, 19, 4, 5, 1, 2, 2, 7, 1, 200
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013668 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[10], 100] (* Paolo Xausa, Jul 03 2024 *)

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

A013688 Continued fraction for zeta(12).

Original entry on oeis.org

1, 4063, 1, 1, 1, 1, 3, 14, 4, 5, 1, 8, 3, 1, 142, 1, 2, 1, 2, 2, 24, 1, 3, 20, 1, 1, 1, 60, 4, 1, 12, 1, 1, 1, 4, 23, 12, 1, 3, 11, 1, 2, 1, 13, 3, 16, 1, 91, 2, 2, 8, 1, 1, 1, 62, 1, 7, 1, 2, 15, 2, 5, 4, 1, 8, 1, 1, 20, 2, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013670 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[12], 100] (* Paolo Xausa, Jul 03 2024 *)

Extensions

Offset changed by Andrew Howroyd, Jul 09 2024

A013694 Continued fraction for zeta(18).

Original entry on oeis.org

1, 261965, 1, 2, 1, 1, 1, 4, 3, 4, 3, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 1, 3, 3, 1, 2, 5, 1, 2, 3, 6, 1, 8, 3, 9, 1, 1, 1, 2, 3, 1, 1, 2, 1, 3, 1, 1, 1, 9, 1, 1, 21, 1, 3, 1, 3, 3, 3, 1, 1, 6, 4, 3, 5, 2, 1, 1, 26, 21, 6, 1, 11, 24, 1
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A013676 (decimal expansion).
Cf. continued fractions for zeta(2)-zeta(20): A013679, A013631, A013680-A013696.

Programs

  • Mathematica
    ContinuedFraction[Zeta[18], 100] (* Paolo Xausa, Jul 03 2024 *)

Extensions

Offset changed by Andrew Howroyd, Aug 10 2024
Previous Showing 11-20 of 30 results. Next

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

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