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A343028
a(n) = floor(11*n / 3).
0
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.
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
Sequence in context: A310204 A310205 A260484 * A000572 A059568 A003512
KEYWORD
nonn,easy
AUTHOR
Simon Strandgaard, Apr 03 2021
STATUS
approved