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 1-8 of 8 results.

A372858 Decimal expansion of (1 + log(2))/2.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Jun 09 2024

Keywords

Examples

			0.84657359027997265470861606072908828403775006...

Links

Crossrefs

Cf. A019798, A372859, A372860, A372861.
Essentially the same as A016655, A102047.

Programs

  • Mathematica
    s = Integrate[Log[x]/x^2, {x, 2, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[1/2  (1 + Log[2]), 100]
RealDigits[(1+Log[2])/2,10,120][[1]] (* Harvey P. Dale, Aug 05 2025 *)
  • PARI
    log(2)/2+.5 \\ Charles R Greathouse IV, Nov 21 2024

Formula

Equals Integral_{x=2..oo} (log(x))/x^2 dx.
Equals log(A019798). - Hugo Pfoertner, Jun 09 2024
Integral log(x)/x^m dx = -x^(1-m) Sum_{k=0..1} log^(1-k)(x)/(m-1)^(k+1). - R. J. Mathar, Jun 21 2024

A019803 Decimal expansion of sqrt(2*e)/11.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.211967634690647654851230551106218261489112390835235311182554222525...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/11; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2E]/11,10,120][[1]] (* Harvey P. Dale, Nov 25 2012 *)
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/11 \\ G. C. Greubel, Sep 08 2018

A019804 Decimal expansion of sqrt(2*e)/13.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.17935722935362493872027200478218468279847971532212218638523818829...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/13; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2E]/13,10,120][[1]] (* Harvey P. Dale, Nov 29 2015 *)
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/13 \\ G. C. Greubel, Sep 08 2018

A019805 Decimal expansion of sqrt(2*e)/15.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.1554429321064749468909024041445600584253490866125058948672...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/15; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2*E]/15,10,120][[1]] (* Harvey P. Dale, Dec 10 2015 *)
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/15 \\ G. C. Greubel, Sep 08 2018

A019806 Decimal expansion of sqrt(2*e)/17.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.13715552832924260019785506248049416919883742936397578958871...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/17; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2*E]/17, 10, 100][[1]]
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/17 \\ G. C. Greubel, Sep 08 2018

A019807 Decimal expansion of sqrt(2*e)/19.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.12271810429458548438755452958781057244106506837829412752...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/19; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2*E]/19, 10, 100][[1]] (* G. C. Greubel, Sep 08 2018 *)
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/19 \\ G. C. Greubel, Sep 08 2018

A019808 Decimal expansion of sqrt(2*e)/21.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.1110306657903392477792160029604000417323922047232184963...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/21; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2*E]/21, 10, 100][[1]] (* G. C. Greubel, Sep 08 2018 *)
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/21 \\ G. C. Greubel, Sep 08 2018

A019809 Decimal expansion of sqrt(2*e)/23.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.10137582528683148710276243748558264679914070866032993...

Links

Crossrefs

Cf. A019798 (sqrt(2*e)).

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1))/23; // G. C. Greubel, Sep 08 2018
  • Mathematica
    RealDigits[Sqrt[2*E]/23, 10, 100][[1]] (* G. C. Greubel, Sep 08 2018 *)
  • PARI
    default(realprecision, 100); sqrt(2*exp(1))/23 \\ G. C. Greubel, Sep 08 2018
Showing 1-8 of 8 results.

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

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