A182772 Beatty sequence for (5-sqrt(3))/2.

1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 24, 26, 27, 29, 31, 32, 34, 35, 37, 39, 40, 42, 44, 45, 47, 49, 50, 52, 53, 55, 57, 58, 60, 62, 63, 65, 66, 68, 70, 71, 73, 75, 76, 78, 80, 81, 83, 84, 86, 88, 89, 91, 93, 94, 96, 98, 99, 101, 102, 104

Offset: 1

Author

Clark Kimberling, Nov 30 2010

Keywords

• nonn

Comments

Let u=1+sqrt(3) and v=sqrt(3). Jointly rank {ju} and {kv} as in the first comment at A182760; a(n) is the position of nv. A182773 is the complement of A182771.

Links

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

Crossrefs

Cf. A182760, A182771.

Programs

Magma

[Floor(n*(5-Sqrt(3))/2): n in [1..80]]; // Vincenzo Librandi, Oct 25 2011

Formula

a(n) = floor(n*(5-sqrt(3))/2).