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.

Previous Showing 11-14 of 14 results.

A172268 a(n) = floor(n*(sqrt(7)-sqrt(3))).

Original entry on oeis.org

0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 63, 64, 65
Offset: 0

Views

Author

Vincenzo Librandi, Jan 30 2010

Keywords

Comments

Differs from the Beatty sequence of the Catalan constant A006752 first at n=35. - R. J. Mathar, May 22 2019

Links

Crossrefs

Cf. A172264, A172266-A172270, A172272-A172278.

Programs

  • Magma
    [Floor(n*(Sqrt(7)-Sqrt(3))): n in [0..80]]; // Vincenzo Librandi, Aug 01 2013
  • Mathematica
    With[{c=Sqrt[7]-Sqrt[3]},Floor[c*Range[0,80]]] (* Harvey P. Dale, Nov 20 2012 *)

A172274 a(n) = floor(n*(sqrt(13)-sqrt(11))).

Original entry on oeis.org

0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 23
Offset: 0

Views

Author

Vincenzo Librandi, Jan 30 2010

Keywords

Links

Crossrefs

Cf. A010470, A010468, A172264, A172266-A172270, A172272-A172278.

Programs

  • Magma
    [Floor(n*(Sqrt(13)-Sqrt(11))): n in [0..80]]; // Vincenzo Librandi, Aug 01 2013
  • Mathematica
    With[{c = Sqrt[13] - Sqrt[11]}, Floor[c Range[0, 80]]] (* Vincenzo Librandi, Aug 01 2013 *)

Formula

a(n) = floor(n*(A010470 - A010468)). - Rick L. Shepherd, Jun 17 2010

Extensions

Edited by Rick L. Shepherd, Jun 17 2010

A172275 a(n) = floor(n*(sqrt(13)-sqrt(7))).

Original entry on oeis.org

0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69
Offset: 0

Views

Author

Vincenzo Librandi, Jan 30 2010

Keywords

Links

Crossrefs

Cf. A172264, A172266-A172270, A172272-A172278.

Programs

  • Magma
    [Floor(n*(Sqrt(13)-Sqrt(7))): n in [0..80]]; // Vincenzo Librandi, Aug 01 2013
  • Mathematica
    With[{c = Sqrt[13] - Sqrt[7]}, Floor[c Range[0, 80]]] (* Harvey P. Dale, Jan 22 2013 *)

A172276 a(n) = floor(n*(sqrt(13)-sqrt(5))).

Original entry on oeis.org

0, 1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 52, 53, 54, 56, 57, 58, 60, 61, 62, 64, 65, 67, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 93, 94, 95, 97
Offset: 0

Views

Author

Vincenzo Librandi, Jan 30 2010

Keywords

Links

Crossrefs

Cf. A172264, A172266-A172270, A172272-A172278.

Programs

  • Magma
    [Floor(n*(Sqrt(13)-Sqrt(5))): n in [0..80]]; // Vincenzo Librandi, Aug 01 2013
  • Mathematica
    With[{c = Sqrt[13] - Sqrt[5]}, Floor[c Range[0, 80]]] (* Vincenzo Librandi, Aug 01 2013 *)
Previous Showing 11-14 of 14 results.

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