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A195174 a(n) = 5*n - floor(3*n*r), where r=(1+sqrt(5))/2 (the golden ratio.) 1

%I #14 Sep 08 2022 08:45:59

%S 0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,

%T 5,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9,9,10,10,10,10,

%U 10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13

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

%H Vincenzo Librandi, <a href="/A195174/b195174.txt">Table of n, a(n) for n = 0..10000</a>

%t Table[5n-Floor[3n GoldenRatio],{n,0,90}] (* _Harvey P. Dale_, Sep 10 2014 *)

%o (Magma) [5*n-Floor(3*n*(1+Sqrt(5))/2): n in [0..70]]; // _Vincenzo Librandi_, Sep 11 2011

%o (PARI) for(n=0,50, print1(5*n - floor(3*n*(1+sqrt(5))/2), ", ")) \\ _G. C. Greubel_, Oct 31 2017

%K nonn

%O 0,8

%A _Clark Kimberling_, Sep 10 2011

%E Offset changed from 1 to 0 by _Vincenzo Librandi_, Sep 11 2011

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Last modified April 25 10:41 EDT 2024. Contains 371967 sequences. (Running on oeis4.)