A083088 First column of table A083087.

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

Author

Paul D. Hanna, Apr 21 2003

Keywords

• nonn
• changed

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

Cf. A083087, A083044, A083047, A083050.

Cf. A080755.

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