A171982 Beatty sequence for sqrt(11).

3, 6, 9, 13, 16, 19, 23, 26, 29, 33, 36, 39, 43, 46, 49, 53, 56, 59, 63, 66, 69, 72, 76, 79, 82, 86, 89, 92, 96, 99, 102, 106, 109, 112, 116, 119, 122, 126, 129, 132, 135, 139, 142, 145, 149, 152, 155, 159, 162, 165, 169, 172, 175, 179, 182, 185, 189, 192, 195, 198

Offset: 1

Author

Vincenzo Librandi, Jan 21 2010

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Programs

Magma

[Isqrt(11*n^2): n in [1..80]]; // Vincenzo Librandi, Aug 01 2013

Mathematica

With[{c = Sqrt[11]}, Floor[c #]& / @Range[1, 80]] (* Vincenzo Librandi, Aug 01 2013 *)

PARI

a(n)=sqrtint(11*n^2) \\ Charles R Greathouse IV, Dec 28 2011

Formula

a(n) = floor(n*sqrt(11)). - Jon E. Schoenfield, Jun 18 2010