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

0,2

Comments

It appears that A188937 gives the positions of 0 in the zero-one sequence A188037; complement of A080754. [From Clark Kimberling, Mar 19 2011]

Links

Table of n, a(n) for n=0..67.

Formula

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

a(n) = floor(n/sqrt(2)) + n + 1.

Mathematica

f[n_] := Floor[n/Sqrt@2 + n + 1]; Array[f, 68, 0]

Prog

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

Crossrefs

Cf. A083087, A083044, A083047, A083050.

Cf. A080755. [From R. J. Mathar, Sep 17 2008]

Sequence in context: A032793 A195127 A292654 * A080755 A083089 A136617

Adjacent sequences: A083085 A083086 A083087 * A083089 A083090 A083091

Keyword

nonn

Author

Paul D. Hanna, Apr 21 2003

Extensions

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

Status

approved