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 11 results. Next

A121900 a(n) = ceiling((Pi - e)*sqrt(n)).

Original entry on oeis.org

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
Offset: 0

Views

Author

Mohammad K. Azarian, Sep 01 2006

Keywords

Links

Crossrefs

Cf. A073244 (Pi-e), A121854, A121855, A121856, A121857.

Programs

  • Magma
    C := ComplexField(); [Ceiling((Pi(C) - Exp(1))*Sqrt(n)): n in [0..50]]; // G. C. Greubel, Oct 28 2017
  • Mathematica
    Table[Ceiling[(Pi - E) Sqrt[n]], {n, 0, 110}] (* Vincenzo Librandi, Feb 21 2013 *)
  • PARI
    for(n=0,50, print1(ceil((Pi - exp(1))*sqrt(n)), ", ")) \\ G. C. Greubel, Oct 28 2017

Extensions

Offset corrected by Mohammad K. Azarian, Nov 20 2008
Offset changed to 0 by Georg Fischer, Sep 02 2022

A096255 Decimal expansion of Pi^2 - e^2.

Original entry on oeis.org

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

Views

Author

Mohammad K. Azarian, Aug 10 2004

Keywords

Examples

			2.4805483021587083916040635393...

Crossrefs

Cf. A000796, A001113, A073244.

Programs

  • Mathematica
    RealDigits[Pi^2-E^2,10,120][[1]] (* Harvey P. Dale, Oct 17 2020 *)

A096388 Decimal expansion of Pi^3 - e^3.

Original entry on oeis.org

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

Views

Author

Mohammad K. Azarian, Aug 10 2004

Keywords

Examples

			10.920739757112152434547785412519677...

Crossrefs

Cf. A000796, A001113, A073244, A091925, A091933.

Programs

  • Mathematica
    RealDigits[Pi^3-E^3,10,120][[1]] (* Harvey P. Dale, Dec 07 2014 *)

Formula

Equals A091925 - A091933. - Michel Marcus, Mar 11 2018

A110564 Continued fraction expansion of Pi - e.

Original entry on oeis.org

0, 2, 2, 1, 3, 6, 18, 7, 1, 10, 1, 3, 1, 39, 6, 1, 1, 7, 1, 2, 1, 7, 2, 1, 1, 1, 5, 29, 14, 7, 2, 1, 1, 4, 1, 11, 932, 1, 2, 1, 1, 2, 10, 3, 1, 4, 1, 1, 4, 1, 2, 7, 1, 1, 1, 6, 1, 2, 1, 1, 1, 1, 1, 5, 1, 38, 1, 5, 1, 3, 1, 3, 10, 1, 1, 5, 1, 14, 1, 17, 6, 1, 3, 2, 5, 1, 1, 7, 1, 25, 1, 2, 3, 1, 2, 7, 9, 5, 1
Offset: 0

Views

Author

Ryan Propper, Sep 12 2005

Keywords

Links

Crossrefs

Cf. A073244 for decimal expansion of Pi - e.

Programs

  • Mathematica
    ContinuedFraction[Pi - E, 100]

Extensions

Offset changed by Andrew Howroyd, Aug 09 2024

A121902 a(n) = floor((Pi - e)*sqrt(n)).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4
Offset: 0

Views

Author

Mohammad K. Azarian, Sep 01 2006

Keywords

Links

Crossrefs

Cf. A073244 (Pi-e), A121854, A121855, A121856, A121857, A121899, A121900, A121901.

Programs

  • Magma
    C := ComplexField(); [Floor((Pi(C) - Exp(1))*Sqrt(n)): n in [0..50]]; // G. C. Greubel, Oct 28 2017
  • Mathematica
    Table[Floor[(Pi - E)*Sqrt[n]], {n, 0, 110}] (* Vincenzo Librandi, Feb 21 2013 *)
  • PARI
    for(n=0,50, print1(floor((Pi - exp(1))*sqrt(n)), ", ")) \\ G. C. Greubel, Oct 28 2017

Extensions

Offset corrected by Mohammad K. Azarian, Nov 20 2008
Offset changed to 0 by Georg Fischer, Sep 02 2022

A211015 Decimal expansion of Pi - e + gamma, where gamma is Euler's constant (or the Euler-Mascheroni constant).

Original entry on oeis.org

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

Views

Author

Omar E. Pol, Sep 16 2012

Keywords

Comments

An approximation to 1.

Examples

			1.00052649003228086370886800200...

Links

Crossrefs

Cf. A000796, A001113, A001620, A073244, A203816.

Programs

  • Magma
    SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R) - Exp(1) + EulerGamma(R); // G. C. Greubel, Sep 06 2018
  • Maple
    evalf(Pi-exp(1)+gamma, 120);  # Alois P. Heinz, Jul 10 2022
  • Mathematica
    RealDigits[Pi - E + EulerGamma, 10, 105][[1]] (* T. D. Noe, Sep 20 2012 *)
  • PARI
    default(realprecision, 100); Pi - exp(1) + Euler \\ G. C. Greubel, Sep 06 2018

Formula

Equals A000796 - A001113 + A001620 = A073244 + A001620.

Extensions

Extended by T. D. Noe, Sep 20 2012

A121830 a(n) = floor((Pi - e)*n).

Original entry on oeis.org

0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32
Offset: 0

Views

Author

Mohammad K. Azarian, Aug 27 2006

Keywords

Links

Crossrefs

Cf. A073244 (Pi-e), A121282.

Programs

  • Mathematica
    Table[Floor[(Pi - E) n], {n, 0, 80}] (* Vincenzo Librandi, Feb 21 2013 *)

Extensions

Offset corrected by Mohammad K. Azarian, Nov 20 2008
Offset changed to 0 by Georg Fischer, Sep 02 2022

A187747 (n-th digit of Pi) - (n-th digit of e).

Original entry on oeis.org

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

Views

Author

Jonathan Vos Post, Jan 03 2013

Keywords

Comments

This is A073223 but without taking absolute values.

Examples

			Pi = 3.141592... and e = 2.718281... so we have
  a(0) = 3 - 2 =  1,
  a(1) = 1 - 7 = -6,
  a(2) = 4 - 1 =  3, ...

Links

Crossrefs

Cf. A000796, A001113, A073223, A073244.

Programs

  • Mathematica
    Subtract @@ RealDigits[{Pi, E}, 10, 96][[All, 1]] (* Michael De Vlieger, Feb 15 2020 *)

A096434 Decimal expansion of (Pi - e)^(1/2).

Original entry on oeis.org

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

Views

Author

Mohammad K. Azarian, Aug 10 2004

Keywords

Examples

			0.65062341268259629322747012706557661222...

Crossrefs

Cf. A073244, A000796, A001113, A002161, A019774.

Programs

  • Mathematica
    RealDigits[Sqrt[Pi-E],10,120][[1]] (* Harvey P. Dale, Mar 23 2023 *)

A096435 Decimal expansion of (Pi - e)^(1/3).

Original entry on oeis.org

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

Views

Author

Mohammad K. Azarian, Aug 10 2004

Keywords

Examples

			0.75084989587561484091729152243844...

Crossrefs

Cf. A073244, A000796, A001113, A002161, A019774.

Programs

  • Mathematica
    RealDigits[Surd[Pi-E,3],10,120][[1]] (* Harvey P. Dale, Aug 21 2021 *)
Showing 1-10 of 11 results. Next

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

Content is available under The OEIS End-User License Agreement.