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.

A109237 a(n) = floor(n*coth(1)).

Original entry on oeis.org

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 76, 77, 78, 80, 81, 82, 84, 85, 86
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

Comments

Beatty sequence for coth(1) = (e^2+1)/(e^2-1) = 1.31303... = A073747; complement of A109238.
From Reinhard Zumkeller, Aug 11 2009: (Start)
a(n) = A164087(n) for n <= 20;
a(n) = A109239(A109238(n)) and A109239(a(n)) = A109238(n). (End)

Links

Crossrefs

Cf. A109238, A109239, A109231, A109234.
Cf. A073747.

Extensions

Typo in comment corrected by Reinhard Zumkeller, Aug 10 2009

A164086 Beatty sequence for 4*Pi/3 = 4.1887902... .

Original entry on oeis.org

4, 8, 12, 16, 20, 25, 29, 33, 37, 41, 46, 50, 54, 58, 62, 67, 71, 75, 79, 83, 87, 92, 96, 100, 104, 108, 113, 117, 121, 125, 129, 134, 138, 142, 146, 150, 154, 159, 163, 167, 171, 175, 180, 184, 188, 192, 196, 201, 205, 209, 213, 217, 222, 226, 230, 234, 238, 242
Offset: 1

Views

Author

Reinhard Zumkeller, Aug 11 2009

Keywords

Comments

a(n) = A109238(n) for n <= 20;
complement of A164087;
a(n) = A164088(A164087(n)) and A164088(a(n)) = A164087(n);
a(A000578(n)) = A066645(n).

Examples

			a(3^3) = a(27) = 113 = (integer part of volume of sphere with radius=3) = A066645(3).

Links

Crossrefs

Cf. A022844, A019699.

Programs

Formula

a(n) = floor(4*n*Pi/3).

A164088 Self-inverse integer permutation induced by Beatty sequences for 4*Pi/3 and 4*Pi/(4*Pi-3).

Original entry on oeis.org

4, 8, 12, 1, 16, 20, 25, 2, 29, 33, 37, 3, 41, 46, 50, 5, 54, 58, 62, 6, 67, 71, 75, 79, 7, 83, 87, 92, 9, 96, 100, 104, 10, 108, 113, 117, 11, 121, 125, 129, 13, 134, 138, 142, 146, 14, 150, 154, 159, 15, 163, 167, 171, 17, 175, 180, 184, 18, 188, 192, 196, 19, 201, 205
Offset: 1

Views

Author

Reinhard Zumkeller, Aug 11 2009

Keywords

Links

Crossrefs

Cf. A109239, A164086, A164087.

Formula

a(n) = A109239(n) for n <= 26;
a(A164086(n)) = A164087(n) and a(A164087(n)) = A164086(n).
Showing 1-3 of 3 results.

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

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