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 1-4 of 4 results.

A001960 a(n) = floor((n+2/3)*(5+sqrt(13))/2); v-pile positions in the 3-Wythoff game.

Original entry on oeis.org

2, 7, 11, 15, 20, 24, 28, 32, 37, 41, 45, 50, 54, 58, 63, 67, 71, 76, 80, 84, 88, 93, 97, 101, 106, 110, 114, 119, 123, 127, 131, 136, 140, 144, 149, 153, 157, 162, 166, 170, 174, 179, 183, 187, 192, 196, 200, 205, 209, 213, 218, 222, 226, 230, 235, 239, 243, 248
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Comments

3-Wythoff game, i=2, the v-pile positions in the Connell terminology. - R. J. Mathar, Feb 14 2011

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Complement of A001957.
Cf. A001954, A001958, A001959, A001963-A001968.

Programs

  • Mathematica
    Table[Floor[(n + 2/3)*(5 + Sqrt[13])/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Formula

a(n) = floor((n+2/3)*(5+sqrt(13))/2). - R. J. Mathar, Feb 14 2011

Extensions

New name from Hugo Pfoertner, Dec 27 2021

A001959 u-pile numbers for the 3-Wythoff game with i=2.

Original entry on oeis.org

0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 88
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Comments

See Connell (1959) for further information.

References

  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001954, A001958, A001960, A001963-A001968.

Programs

  • Mathematica
    Table[Floor[(n + 2/3)*(Sqrt[13] - 1)/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Formula

a(n) = floor( (n+2/3)*(sqrt(13)-1)/2 ). - R. J. Mathar, Feb 14 2011

Extensions

Edited by Hugo Pfoertner, Dec 27 2021

A001957 u-pile positions in the 3-Wythoff game with i=1.

Original entry on oeis.org

0, 1, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Comments

See Connell (1959) for further information.
The complement is A001960. - Omar E. Pol, Jan 06 2009

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001954, A001958-A001960, A001963-A001968.

Programs

  • Mathematica
    Table[Floor[(n + 1/3)*(Sqrt[13] - 1)/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Formula

a(n) = floor((n+1/3)*(sqrt(13)-1)/2). - R. J. Mathar, Feb 14 2011

Extensions

Edited by N. J. A. Sloane, Dec 27 2021

A001964 v-pile positions of the 4-Wythoff game with i=1.

Original entry on oeis.org

1, 6, 11, 17, 22, 27, 32, 37, 43, 48, 53, 58, 64, 69, 74, 79, 85, 90, 95, 100, 106, 111, 116, 121, 126, 132, 137, 142, 147, 153, 158, 163, 168, 174, 179, 184, 189, 195, 200, 205, 210, 215, 221, 226, 231, 236, 242, 247, 252, 257, 263, 268, 273, 278, 284, 289
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Comments

See Connell (1959) for further information.

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001963 (u-pile).

Programs

  • Mathematica
    Table[Floor[(n + 1/4)*(Sqrt[5] + 3)], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Formula

a(n) = floor( (n+1/4)*(3+sqrt(5)) ). - R. J. Mathar, Feb 14 2011

Extensions

Edited by Hugo Pfoertner, Dec 27 2021
Showing 1-4 of 4 results.

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

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