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.

A041199 Denominators of continued fraction convergents to sqrt(110).

Original entry on oeis.org

1, 2, 41, 84, 1721, 3526, 72241, 148008, 3032401, 6212810, 127288601, 260790012, 5343088841, 10946967694, 224282442721, 459511853136, 9414519505441, 19288550864018, 395185536785801, 809659624435620, 16588378025498201, 33986415675432022
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A041198, A176221, A040099.

Programs

  • Mathematica
    Denominator[Convergents[Sqrt[110],30]] (* Harvey P. Dale, Oct 10 2012 *)
CoefficientList[Series[(1 + 2 x - x^2)/(1 - 42 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 12 2013*)

Formula

G.f.: -(x^2-2*x-1) / (x^4-42*x^2+1). - Colin Barker, Nov 14 2013

Extensions

More terms from Colin Barker, Nov 14 2013

A176220 Decimal expansion of (10+sqrt(110))/5.

Original entry on oeis.org

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

Views

Author

Klaus Brockhaus, Apr 12 2010

Keywords

Comments

Continued fraction expansion of (10+sqrt(110))/5 is A010715.

Examples

			(10+sqrt(110))/5 = 4.09761769634030309398...

Links

Crossrefs

Cf. A176221 (decimal expansion of sqrt(110)), A010715 (repeat 4, 10).

Programs

  • Mathematica
    RealDigits[(10+Sqrt[110])/5,10,120][[1]] (* Harvey P. Dale, Jan 24 2020 *)

A176323 Decimal expansion of (10+sqrt(110))/4.

Original entry on oeis.org

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

Views

Author

Klaus Brockhaus, Apr 15 2010

Keywords

Comments

Continued fraction expansion of (10+sqrt(110))/4 is A010719.

Examples

			5.12202212042537886747...

Links

Crossrefs

Cf. A176221 (decimal expansion of sqrt(110)), A010719 (repeat 5, 8).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); (10+Sqrt(110))/4; // G. C. Greubel, Dec 05 2019
  • Maple
    evalf( (10+sqrt(110))/4, 100); # G. C. Greubel, Dec 05 2019
  • Mathematica
    RealDigits[(10+Sqrt[110])/4,10,120][[1]] (* Harvey P. Dale, Jun 09 2016 *)
  • PARI
    default(realprecision, 100); (10+sqrt(110))/4 \\ G. C. Greubel, Dec 05 2019
  • Sage
    numerical_approx((10+sqrt(110))/4, digits=100) # G. C. Greubel, Dec 05 2019

A176455 Decimal expansion of (20+2*sqrt(110))/5.

Original entry on oeis.org

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

Views

Author

Klaus Brockhaus, Apr 20 2010

Keywords

Comments

Continued fraction expansion of (20+2*sqrt(110))/5 is A010719 preceded by 8.

Examples

			(20+2*sqrt(110))/5 = 8.19523539268060618796...

Crossrefs

Cf. A176221 (decimal expansion of sqrt(110)), A010719 (repeat 5, 8).

A176531 Decimal expansion of (10+sqrt(110))/2.

Original entry on oeis.org

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

Views

Author

Klaus Brockhaus, Apr 24 2010

Keywords

Comments

Continued fraction expansion of (10+sqrt(110))/2 is A010715 preceded by 10.

Examples

			(10+sqrt(110))/2 = 10.24404424085075773495...

Crossrefs

Cf. A176221 (decimal expansion of sqrt(110)), A010715 (repeat 4, 10).

Programs

  • Mathematica
    RealDigits[(10+Sqrt[110])/2,10,120][[1]] (* Harvey P. Dale, Jan 16 2015 *)
Showing 1-5 of 5 results.

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

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