A194028 Beatty sequence for sqrt(12).

3, 6, 10, 13, 17, 20, 24, 27, 31, 34, 38, 41, 45, 48, 51, 55, 58, 62, 65, 69, 72, 76, 79, 83, 86, 90, 93, 96, 100, 103, 107, 110, 114, 117, 121, 124, 128, 131, 135, 138, 142, 145, 148, 152, 155, 159, 162, 166, 169, 173, 176, 180, 183, 187, 190, 193, 197

Offset: 1

Author

Clark Kimberling, Aug 16 2011

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A194115 (partial sums).

Bisection of A022838.

Programs

Magma

[Floor(n*(Sqrt(12))): n in [1..70]]; // Vincenzo Librandi, Sep 12 2011

Mathematica

Table[Floor[n*Sqrt[12]],{n,1,100}]

Formula

a(n) = floor(n*sqrt(12)).