A182774 Beatty sequence for 1+2^(-2/3).

1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 24, 26, 27, 29, 30, 32, 34, 35, 37, 39, 40, 42, 44, 45, 47, 48, 50, 52, 53, 55, 57, 58, 60, 61, 63, 65, 66, 68, 70, 71, 73, 74, 76, 78, 79, 81, 83, 84, 86, 88, 89, 91, 92, 94, 96, 97, 99, 101, 102, 104

Offset: 1

Author

Clark Kimberling, Nov 30 2010

Keywords

• nonn

Comments

Let u=2^(1/3). Jointly rank {ju} and {k/u} as in the first comment at A182760; a(n) is the position of n/u. A182774 is the complement of A182773.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Beatty Sequence.
• Index entries for sequences related to Beatty sequences.

Crossrefs

Cf. A182760, A182773, A182774, A235362.

Programs

Magma

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

Mathematica

Floor[Range[100]*(1 + 2^(-2/3))] (* Paolo Xausa, Jul 09 2024 *)

Formula

a(n) = floor(n*(1 + 2^(-2/3))).