A195168 a(n) = 3*n - floor(n*r/3), where r=(1+sqrt(5))/2 (the golden ratio).

0, 3, 5, 8, 10, 13, 15, 18, 20, 23, 25, 28, 30, 32, 35, 37, 40, 42, 45, 47, 50, 52, 55, 57, 60, 62, 64, 67, 69, 72, 74, 77, 79, 82, 84, 87, 89, 92, 94, 96, 99, 101, 104, 106, 109, 111, 114, 116, 119, 121, 124, 126, 128, 131, 133, 136, 138, 141, 143, 146, 148

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Mathematica

With[{c = GoldenRatio}, Table[3*n - Floor[c*n/3], {n, 0, 50}]] (* G. C. Greubel, Oct 31 2017 *)

Prog

(Magma) [3*n-Floor(n*(1+Sqrt(5))/6): n in [0..70]]; // Vincenzo Librandi, Sep 11 2011
(PARI) for(n=0, 50, print1(3*n - floor(n*(1+sqrt(5))/6), ", ")) \\ G. C. Greubel, Oct 31 2017

Crossrefs

Sequence in context: A372780 A080754 A198083 * A332102 A047218 A029919

Adjacent sequences: A195165 A195166 A195167 * A195169 A195170 A195171

Keyword

nonn

Author

Clark Kimberling, Sep 10 2011

Status

approved