A023800 -id:A023800 - cp's OEIS frontend

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

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

Zak Seidov, Jun 04 2005

nonn

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

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

Cf. A108593.

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

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

A108611 Excess of Beatty-function of 1/sin(1) over n.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16

Offset: 0

Zak Seidov, Jun 13 2005

nonn

Cf. A023800, A031943, A037918, A039215, A043091, A047253, A108120.

a(n) = A108120[n] - n.

A108612 Beatty-2 (or nested Beatty) sequence for 1/sin(1).

Original entry on oeis.org

1, 4, 9, 16, 25, 42, 56, 72, 90, 110, 143, 168, 195, 224, 255, 304, 340, 378, 418, 460, 504, 572, 621, 672, 725, 780, 864, 924, 986, 1050, 1116, 1216, 1287, 1360, 1435, 1512, 1591, 1710, 1794, 1880, 1968, 2058, 2193, 2288, 2385, 2484, 2585, 2736, 2842, 2950

Offset: 1

Zak Seidov, Jun 13 2005

nonn

Cf. A023800, A031943, A037918, A039215, A043091, A047253, A108120, A108611, A108613.

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

A108613 Excess of Beatty-2 function of 1/sin(1) over n^2.

Original entry on oeis.org

0, 0, 0, 0, 0, 6, 7, 8, 9, 10, 22, 24, 26, 28, 30, 48, 51, 54, 57, 60, 63, 88, 92, 96, 100, 104, 135, 140, 145, 150, 155, 192, 198, 204, 210, 216, 222, 266, 273, 280, 287, 294, 344, 352, 360, 368, 376, 432, 441, 450, 459, 468, 477, 540, 550, 560, 570, 580, 649, 660

Offset: 0

Zak Seidov, Jun 13 2005

nonn

Cf. A108612 Beatty-2 (or nested Beatty) function of 1/sin(1).

Cf. A023800, A031943, A037918, A039215, A043091, A047253, A108120, A108611, A108612.

a(n) = A108612[n] - n^2 = floor(n*floor(n/sin(1))) - n^2.

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Crossrefs

Programs

Mathematica

Formula

A108611 Excess of Beatty-function of 1/sin(1) over n.

Views

Author

Keywords

Crossrefs

Formula

A108612 Beatty-2 (or nested Beatty) sequence for 1/sin(1).

Views

Author

Keywords

Crossrefs

Formula

A108613 Excess of Beatty-2 function of 1/sin(1) over n^2.

Views

Author

Keywords

Comments

Crossrefs

Formula