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 1-2 of 2 results.

A083088 First column of table A083087.

Original entry on oeis.org

1, 2, 4, 6, 7, 9, 11, 12, 14, 16, 18, 19, 21, 23, 24, 26, 28, 30, 31, 33, 35, 36, 38, 40, 41, 43, 45, 47, 48, 50, 52, 53, 55, 57, 59, 60, 62, 64, 65, 67, 69, 70, 72, 74, 76, 77, 79, 81, 82, 84, 86, 88, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 106, 108, 110, 111, 113, 115
Offset: 0

Views

Author

Paul D. Hanna, Apr 21 2003

Keywords

Comments

It appears that A188937 gives the positions of 0 in the zero-one sequence A188037; complement of A080754. - Clark Kimberling, Mar 19 2011
Is this (apart from the prefixed a(0)) the same as A080755? - R. J. Mathar, Jul 31 2025

Crossrefs

Programs

  • Magma
    z:=70; x:=1+Sqrt(2); [ Floor(n*x/(x-1))+1: n in [0..z] ]; // Klaus Brockhaus, Jan 04 2011
  • Mathematica
    f[n_] := Floor[n/Sqrt@2 + n + 1]; Array[f, 68, 0]

Formula

a(n) = floor(n*x/(x-1)) + 1, n>=0, where x=1+sqrt(2).
a(n) = floor(n/sqrt(2)) + n + 1 = 1+n+A049472(n).

Extensions

This entry formerly contained an erroneous comment, which was deleted by N. J. A. Sloane, Jan 30 2008

A188936 Numbers k such that (2^k + 3)^2 - 8 is prime.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 19, 27, 28, 32, 36, 48, 56, 61, 131, 170, 251, 750, 771, 779, 790, 874, 1176, 1728, 2604, 3541, 5394, 6203, 9230, 14666, 15680, 26712, 45840, 46019, 56220
Offset: 1

Views

Author

N. J. A. Sloane, Apr 14 2011

Keywords

Crossrefs

Programs

  • PARI
    for(n=1,10^6,if(isprime((2^n+3)^2-8),print1(n,", "))); /* Joerg Arndt, Apr 25 2011 */

Extensions

a(22)-a(30) from Joerg Arndt, Apr 25 2011
a(31)-a(33) from Vincenzo Librandi, May 13 2011
a(36) from Charles R Greathouse IV, Oct 10 2011
a(37)-a(39) from Charles R Greathouse IV, Oct 11 2011
a(34)-a(35) inserted by Michael S. Branicky, Jul 25 2024
Showing 1-2 of 2 results.