A393579 - OEIS

%I #18 Mar 22 2026 15:38:38

%S 1,0,1,0,2,0,2,0,2,1,2,1,0,1,0,1,0,2,0,2,0,2,1,2,1,0,1,0,1,0,2,0,2,1,

%T 2,1,2,1,0,1,0,1,0,2,0,2,1,2,1,2,1,0,1,0,1,0,2,0,2,1,2,1,2,1,0,1,0,2,

%U 0,2,0,2,1,2,1,2,1,0,1,0,2,0,2,0,2,1,2

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

%H Paolo Xausa, <a href="/A393579/b393579.txt">Table of n, a(n) for n = 1..10000</a>

%t Mod[Floor[GoldenRatio*Range[100]], 3] (* _Paolo Xausa_, Mar 22 2026 *)

%Y Cf. A001622, A085002.

%K nonn

%O 1,5

%A _Jeffrey Shallit_, Mar 22 2026