A184421 Lower s-Wythoff sequence, where s=upper Wythoff sequence. Complement of A184422.

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

Offset: 1

Author

Clark Kimberling, Jan 13 2011

Keywords

• nonn

Comments

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

Crossrefs

Cf. A184117, A184422.

Programs

Mathematica

mex:=First[Complement[Range[1,Max[#1]+1],#1]]&;
r=(1+5^(1/2))/2;s[n_]:=Floor[r*n+n];a[1]=1;b[n_]:=b[n]=s[n]+a[n];
a[n_]:=a[n]=mex[Flatten[Table[{a[i],b[i]},{i,1,n-1}]]];
Table[s[n],{n,40}]
Table[a[n],{n,100}]
Table[b[n],{n,100}]