A054088 a(n) = A054086(3n); also a bisection of A003511.

2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 30, 32, 35, 38, 40, 43, 46, 49, 51, 54, 57, 60, 62, 65, 68, 71, 73, 76, 79, 81, 84, 87, 90, 92, 95, 98, 101, 103, 106, 109, 112, 114, 117, 120, 122, 125, 128, 131, 133, 136, 139, 142, 144, 147, 150

Offset

1,1

Links

Table of n, a(n) for n=1..55.

Formula

a(n) = floor( n*(1+sqrt(3)) ) = n + floor(n*sqrt(3)). - R. J. Mathar, Feb 26 2011

a(n) = n + A022838(n). - R. J. Mathar, Jan 25 2015

From Miko Labalan, Dec 17 2016: (Start)

For n > 0, a(n) = 3*floor(n*(sqrt(3)-1)) + 2*floor(n*(2-sqrt(3))) + 2;

a(0) = 0, a(n) = a(n - 1) + A022838(n) - A022838(n - 1) + 1. (End)

Maple

A054088 := proc(n) floor(n*(1+sqrt(3))) ; end proc: # R. J. Mathar, Feb 26 2011

Mathematica

Table[Floor[n (1 + Sqrt[3])], {n, 100}] (* Wesley Ivan Hurt, Dec 17 2016 *)

Prog

(Magma) [3*Floor(n*(Sqrt(3)-1))+2*Floor(n*(2-Sqrt(3)))+2: n in [1..60]]; // Vincenzo Librandi, Dec 18 2016

Crossrefs

Cf. A003511, A022838, A054086.

Sequence in context: A284774 A309095 A022843 * A186540 A059556 A248520

Adjacent sequences: A054085 A054086 A054087 * A054089 A054090 A054091

Keyword

nonn,easy

Author

Clark Kimberling

Extensions

A-number in the definition corrected by R. J. Mathar, Oct 05 2008

Status

approved