A184421 - OEIS

%I #4 Mar 30 2012 18:57:13

%S 1,2,4,5,6,8,9,10,12,13,14,16,17,18,20,21,22,24,25,26,28,29,31,32,33,

%T 34,36,37,38,40,41,43,44,45,46,48,49,50,52,53,55,56,57,58,60,61,63,64,

%U 65,67,68,69,70,72,73,75,76,77,79,80,81,83,84,85,87,88,89,90,92,93,95,96,97,99,100,101,103,104,105,107,108,109,111,112,114,115,116,117,119,120,121,123,124,125,127,128,129,131,132,133

%N Lower s-Wythoff sequence, where s=upper Wythoff sequence. Complement of A184422.

%C See A184117 for the definition of lower and upper Wythoff sequences.

%t mex:=First[Complement[Range[1,Max[#1]+1],#1]]&;

%t r=(1+5^(1/2))/2;s[n_]:=Floor[r*n+n];a[1]=1;b[n_]:=b[n]=s[n]+a[n];

%t a[n_]:=a[n]=mex[Flatten[Table[{a[i],b[i]},{i,1,n-1}]]];

%t Table[s[n],{n,40}]

%t Table[a[n],{n,100}]

%t Table[b[n],{n,100}]

%Y Cf. A184117, A184422.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 13 2011