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 1-5 of 5 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

A109233 Self-inverse integer permutation induced by Beatty sequences for (e+1/e)/2 and (e^2+1)/(e-1)^2.

Original entry on oeis.org

2, 1, 5, 8, 3, 11, 14, 4, 17, 19, 6, 22, 25, 7, 28, 31, 9, 34, 10, 36, 39, 12, 42, 45, 13, 48, 51, 15, 53, 56, 16, 59, 62, 18, 65, 20, 68, 71, 21, 73, 76, 23, 79, 82, 24, 85, 88, 26, 90, 93, 27, 96, 29, 99, 102, 30, 105, 107, 32, 110, 113, 33, 116, 119
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

Links

Crossrefs

Cf. A109231, A109232, A109236, A109239.

Formula

a(A109231(n))=A109232(n) and a(A109232(n))=A109231(n).

A109236 Self-inverse integer permutation induced by Beatty sequences for (e-1/e)/2 and (e^2+1)/(e^2-2*e-1).

Original entry on oeis.org

6, 13, 20, 26, 33, 1, 40, 46, 53, 60, 67, 73, 2, 80, 87, 93, 100, 107, 114, 3, 120, 127, 134, 140, 147, 4, 154, 160, 167, 174, 181, 187, 5, 194, 201, 207, 214, 221, 228, 7, 234, 241, 248, 254, 261, 8, 268, 275, 281, 288, 295, 301, 9, 308, 315
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

Links

Crossrefs

Cf. A109233, A109234, A109235, A109239.

Formula

a(A109234(n))=A109235(n) and a(A109235(n))=A109234(n).

A109238 a(n) = floor(n*(e^2+1)/2).

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, 88, 92, 96, 100, 104, 109, 113, 117, 121, 125, 130, 134, 138, 142, 146, 151, 155, 159, 163, 167, 171, 176, 180, 184, 188, 192, 197, 201, 205, 209, 213, 218, 222, 226
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

Comments

Beatty sequence for (e^2+1)/2 = 4.19452...; complement of A109237.
From Reinhard Zumkeller, Aug 11 2009: (Start)
a(n) = A164086(n) for n <= 66;
a(n) = A109239(A109237(n)) and A109239(a(n)) = A109237(n). (End)

Links

Crossrefs

Cf. A109237, A109239, A164086.

Programs

  • Mathematica
    Floor[Range[60] (E^2+1)/2] (* Harvey P. Dale, Apr 10 2018 *)

Extensions

Typo in comment corrected by Reinhard Zumkeller, Aug 10 2009

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 1-5 of 5 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.