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(A022838 mod 2)+(A054406 mod 2)
5

%I #4 Mar 30 2012 18:57:32

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

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

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

%N (A022838 mod 2)+(A054406 mod 2)

%C A022838: Beatty sequence for r=sqrt(3),

%C A054406: Beatty sequence for s=(3+sqrt(3))/2 (complement

%C of A022838), so that

%C A191336(n)=([nr] mod 2)+([ns] mod 2), where [ ]=floor.

%C A191336(n)=(number of odd numbers in {[nr],[ns]}).

%F a(n)=([nr] mod 2)+([ns] mod 2), where r=sqrt(3), s=r/(r-1), and [ ]=floor.

%t r = Sqrt[3]; s = r/(r - 1); h = 320;

%t u = Table[Floor[n*r], {n, 1, h}] (* A022838 *)

%t v = Table[Floor[n*s], {n, 1, h}] (* A054406 *)

%t w = Mod[u, 2] + Mod[v, 2] (* A191336 *)

%t Flatten[Position[w, 0]] (* A191337 *)

%t Flatten[Position[w, 1]] (* A191338 *)

%t Flatten[Position[w, 2]] (* A191339 *)

%Y Cf. A191329, A191337, A191338, A191339.

%K nonn

%O 1,3

%A _Clark Kimberling_, Jun 01 2011

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Last modified September 21 04:44 EDT 2024. Contains 376079 sequences. (Running on oeis4.)