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 1-10 of 18 results. Next

A074916 Decimal expansion of (Pi + e)/2.

Original entry on oeis.org

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

Views

Author

Zak Seidov, Oct 01 2002

Keywords

Comments

Arithmetic average of Pi and e is very close to geometric average of Pi and e, see A019645.

Examples

			2.92993724102441923691146542731608269097720824653753...

Crossrefs

Cf. A000796 (Pi), A001113 (e), A019645.

Programs

  • Mathematica
    RealDigits[(Pi + E)/2, 10, 120][[1]] (* Amiram Eldar, May 07 2023 *)
  • Maxima
    fpprec : 100$ ev(bfloat((%pi+%e)/2)); /* Martin Ettl, Oct 16 2012 */
  • PARI
    (exp(1)+Pi)/2 \\ Michel Marcus, Mar 14 2015

A074921 Decimal expansion of (Pi + e)/2 - sqrt(Pi*e).

Original entry on oeis.org

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

Views

Author

Zak Seidov, Oct 02 2002

Keywords

Examples

			(Pi + e)/2 - sqrt(Pi*e) = 2.9299372410244192369... - 2.92228236532227786454... = 0.0076548757021413723...

Crossrefs

Cf. A019645, A074916.

Programs

  • Mathematica
    Join[{0, 0}, RealDigits[(Pi + E)/2 - Sqrt[Pi*E], 10, 120][[1]]] (* Amiram Eldar, May 07 2023 *)
  • Maxima
    fpprec : 100$ ev(bfloat((%pi+%e)/2-(%pi*%e)^(1/2))); /*Martin Ettl, Oct 16 2012 */

A074917 Decimal expansion of (Pi+e)/2 - decimal expansion of (Pi*e)^(1/2).

Original entry on oeis.org

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

Views

Author

Zak Seidov, Oct 01 2002

Keywords

Crossrefs

Cf. A019645, A074916, A074921.

Programs

  • Mathematica
    RealDigits[(Pi+E)/2,10,120][[1]]-RealDigits[Sqrt[Pi E],10,120][[1]] (* Harvey P. Dale, Sep 05 2023 *)

A019646 Decimal expansion of sqrt(Pi*e)/2.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			1.4611411826611389322708115380538411576989537763232834295...

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/2]; // G. C. Greubel, Nov 17 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/2, 10, 20][[1]] (* G. C. Greubel, Jan 10 2017 *)
  • PARI
    sqrt(Pi*exp(1))/2 \\ G. C. Greubel, Jan 10 2017

A019647 Decimal expansion of sqrt(Pi*e)/3.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.9740941217740926215138743587025607717993...

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/3]; // G. C. Greubel, Nov 17 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/3, 10, 20][[1]] (* G. C. Greubel, Jan 10 2017 *)
  • PARI
    sqrt(Pi*exp(1))/3 \\ G. C. Greubel, Jan 10 2017

A019648 Decimal expansion of sqrt(Pi*e)/4.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.730570591330569466135405769026920578849476888...

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/4]; // G. C. Greubel, Nov 17 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/4, 10, 20][[1]] (* G. C. Greubel, Jan 10 2017 *)
  • PARI
    sqrt(Pi*exp (1))/4 \\ G. C. Greubel, Jan 10 2017

A019649 Decimal expansion of sqrt(Pi*e)/5.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.58445647306445557290832461522153646307958151...

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/5]; // G. C. Greubel, Nov 17 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/5, 10, 20][[1]] (* G. C. Greubel, Jan 10 2017 *)
  • PARI
    sqrt(Pi*exp (1))/5 \\ G. C. Greubel, Jan 10 2017

A019650 Decimal expansion of sqrt(Pi*e)/6.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.48704706088704631075693717935128038589965...

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/6]; // G. C. Greubel, Nov 17 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/6, 10, 20][[1]] (* G. C. Greubel, Jan 10 2017 *)
  • PARI
    sqrt(Pi*exp (1))/6 \\ G. C. Greubel, Jan 10 2017

A019651 Decimal expansion of sqrt(Pi*e)/7.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Examples

			0.4174689093317539806488032965868117593425582218...

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/7]; // G. C. Greubel, Nov 17 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/7, 10, 20][[1]] (* G. C. Greubel, Jan 10 2017 *)
  • PARI
    sqrt(Pi*exp (1))/7 \\ G. C. Greubel, Jan 10 2017

A019652 Decimal expansion of sqrt(Pi*e)/8.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A019645.

Programs

  • Magma
    C := ComplexField(); [Sqrt(Pi(C)*Exp(1))/8]; // G. C. Greubel, Nov 06 2017
  • Mathematica
    RealDigits[Sqrt[Pi*E]/8,10,120][[1]] (* Harvey P. Dale, Jul 25 2011 *)
  • PARI
    sqrt(Pi*exp(1))/8 \\ G. C. Greubel, Jan 10 2017
Showing 1-10 of 18 results. Next

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

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