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.

A109260 a(n) = floor(n*sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1)).

Original entry on oeis.org

2, 5, 7, 10, 12, 15, 18, 20, 23, 25, 28, 30, 33, 36, 38, 41, 43, 46, 49, 51, 54, 56, 59, 61, 64, 67, 69, 72, 74, 77, 80, 82, 85, 87, 90, 92, 95, 98, 100, 103, 105, 108, 110, 113, 116, 118, 121, 123, 126, 129, 131, 134, 136, 139, 141, 144, 147, 149
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

Comments

Beatty sequence for sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1); complement of A109259.

Links

Crossrefs

Cf. A109261.

Programs

  • Magma
    [Floor(n*Sqrt(2)^Sqrt(2)/(Sqrt(2)^Sqrt(2) - 1)): n in [1..100]]; // G. C. Greubel, Aug 17 2018
  • Mathematica
    Table[Floor[n*Sqrt[2]^Sqrt[2]/(Sqrt[2]^Sqrt[2] - 1)], {n, 1, 100}] (* G. C. Greubel, Aug 17 2018 *)
  • PARI
    for(n=1,100, print1(floor(n*sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1)), ", ")) \\ G. C. Greubel, Aug 17 2018

A292663 Rank of n*(e-1) when all the numbers j*(e+1) and k*e, for j>=1, k>=1, are jointly ranked.

Original entry on oeis.org

1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 24, 26, 27, 29, 31, 32, 34, 35, 37, 39, 40, 42, 44, 45, 47, 48, 50, 52, 53, 55, 57, 58, 60, 62, 63, 65, 66, 68, 70, 71, 73, 75, 76, 78, 79, 81, 83, 84, 86, 88, 89, 91, 93, 94, 96, 97, 99, 101, 102, 104, 106
Offset: 1

Views

Author

Clark Kimberling, Sep 29 2017

Keywords

Comments

Starts to differ from A109259 at n=68. - R. J. Mathar, Oct 02 2017

Links

Crossrefs

Cf. A292664 (complement).

Programs

  • Mathematica
    z = 120; r = E - 1; s = E;;
Table[n + Floor[n*r/s], {n, 1, z}]  (* A292663 *)
Table[n + Floor[n*s/r], {n, 1, z}]  (* A292664 *)

A109261 Self-inverse integer permutation induced by Beatty sequences for sqrt(2)^sqrt(2) and sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1).

Original entry on oeis.org

2, 1, 5, 7, 3, 10, 4, 12, 15, 6, 18, 8, 20, 23, 9, 25, 28, 11, 30, 13, 33, 36, 14, 38, 16, 41, 43, 17, 46, 19, 49, 51, 21, 54, 56, 22, 59, 24, 61, 64, 26, 67, 27, 69, 72, 29, 74, 77, 31, 80, 32, 82, 85, 34, 87, 35, 90, 92, 37, 95, 39, 98, 100, 40, 103
Offset: 1

Views

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

Links

Crossrefs

Cf. A109259, A109260.
Cf. A078333 (sqrt(2)^sqrt(2)).

Formula

a(A109259(n))=A109260(n) and a(A109260(n))=A109259(n).
Showing 1-3 of 3 results.

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

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