A343028 a(n) = floor(11*n / 3).

0, 3, 7, 11, 14, 18, 22, 25, 29, 33, 36, 40, 44, 47, 51, 55, 58, 62, 66, 69, 73, 77, 80, 84, 88, 91, 95, 99, 102, 106, 110, 113, 117, 121, 124, 128, 132, 135, 139, 143, 146, 150, 154, 157, 161, 165, 168, 172, 176, 179, 183, 187, 190, 194, 198, 201, 205, 209, 212, 216, 220, 223, 227, 231, 234, 238, 242, 245, 249, 253, 256, 260

Offset

0,2

Comments

Skipping a(0), this sequence shares 237 initial terms with A260484.

Links

Table of n, a(n) for n=0..71.

Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1).

Formula

G.f.: x*(3+4*x+4*x^2)/((1-x)^2*(1+x+x^2)). - Stefano Spezia, Apr 17 2021

From Wesley Ivan Hurt, Apr 19 2021: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4).

a(n) = (33*n-3-sqrt(3)*(1-2*cos(2*Pi*(11*n-1)/3))*sin(2*Pi*(11*n-1)/3))/9.

a(n) = A002264(A008593(n)). (End)

3*a(n) = 11*n-1+A049347(n). - R. J. Mathar, Jan 25 2023

Mathematica

Table[Floor[11 n/3], {n, 0, 50}] (* Wesley Ivan Hurt, Apr 19 2021 *)

Prog

(Ruby) p (0..50).map {|n| (n * 11) / 3 }
(Magma) [Floor(11*n/3) : n in [0..50]]; // Wesley Ivan Hurt, Apr 19 2021

Crossrefs

Cf. A002264, A008593.

Sequence in context: A310204 A310205 A260484 * A000572 A059568 A003512

Adjacent sequences: A343025 A343026 A343027 * A343029 A343030 A343031

Keyword

nonn,easy

Author

Simon Strandgaard, Apr 03 2021

Status

approved