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 1-3 of 3 results.

A108120 Floor[n*1/Sin[1]], or Beatty sequence for 1/sin(1).

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 83, 84, 85
Offset: 1

Views

Author

Zak Seidov, Jun 04 2005

Keywords

Comments

Complement of A108587; not the same as A108586: a(37)=43 <> A108586(37)=44. - Reinhard Zumkeller, Jun 11 2005

Crossrefs

Cf. A023800, A031943, A037918, A039215, A043091, A047253.
Cf. A108593.

Programs

  • Mathematica
    a[n_]:=Floor[n*1/Sin[1]];Table[a[n], {n, 90}]

Formula

a(n) = floor(n*1/sin(1))

A108592 Self-inverse integer permutation induced by Beatty sequences for 2*Pi and 2*Pi/(2*Pi-1).

Original entry on oeis.org

6, 12, 18, 25, 31, 1, 37, 43, 50, 56, 62, 2, 69, 75, 81, 87, 94, 3, 100, 106, 113, 119, 125, 131, 4, 138, 144, 150, 157, 163, 5, 169, 175, 182, 188, 194, 7, 201, 207, 213, 219, 226, 8, 232, 238, 245, 251, 257, 263, 9, 270, 276, 282, 289, 295, 10, 301, 307, 314, 320, 326, 11, 333, 339, 345, 351, 358, 364, 13, 370
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 11 2005

Keywords

Links

Crossrefs

Cf. A108590, A108591, A108593.

Programs

  • PARI
    a30(n) = floor(n*2*Pi);
a86(n) = floor(2*n*Pi/(2*Pi-1));
lista(nn) = {my(vb = vector(nn, n, a30(n))); my(vc = vector(nn, n, a86(n))); my(va = vector(nn)); for (n=1, nn, if (vb[n] <= nn, va[vb[n]] = vc[n]); if (vc[n] <= nn, va[vc[n]] = vb[n]);); va;} \\ Michel Marcus, May 25 2022

Formula

a(A038130(n))=A108586(n) and a(A108586(n))=A038130(n).

Extensions

Four terms corrected by Georg Fischer and Michel Marcus, May 25 2022

A108587 a(n) = floor(n/(1-sin(1))).

Original entry on oeis.org

6, 12, 18, 25, 31, 37, 44, 50, 56, 63, 69, 75, 82, 88, 94, 100, 107, 113, 119, 126, 132, 138, 145, 151, 157, 164, 170, 176, 182, 189, 195, 201, 208, 214, 220, 227, 233, 239, 246, 252, 258, 264, 271, 277, 283, 290, 296, 302, 309, 315, 321, 328, 334, 340, 346
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 11 2005

Keywords

Comments

Beatty sequence for 1/(1-sin(1)); complement of A108120.

Links

Crossrefs

Cf. A038130, A049469, A108120, A108593, A206530.

Programs

  • Magma
    [Floor(n/(1-Sin(1))): n in [1..60]]; // G. C. Greubel, Dec 19 2022
  • Mathematica
    Table[Floor[n/(1-Sin[1])], {n, 60}] (* G. C. Greubel, Dec 19 2022 *)
  • SageMath
    [int(n/(1-sin(1))) for n in range(1,61)] # G. C. Greubel, Dec 19 2022
Showing 1-3 of 3 results.

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

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