A184414 Upper s(n)-Wythoff sequence, where s(n)=floor[(n+1)/2].

2, 4, 7, 8, 12, 13, 15, 18, 21, 22, 25, 26, 30, 31, 35, 36, 38, 41, 43, 44, 48, 50, 52, 54, 58, 59, 61, 63, 66, 68, 71, 72, 74, 77, 80, 82, 84, 86, 89, 90, 94, 96, 98, 100, 102, 104, 107, 109, 112, 113, 117, 118, 120, 122, 125, 127, 130, 132, 135, 136, 139, 141, 143, 146, 148, 149, 153, 155, 158, 159, 162, 164, 166, 168, 171, 172, 176, 177, 180, 182, 185, 186, 189, 192, 194, 195, 198, 200, 202, 205, 207, 209, 212, 214, 217, 218, 222, 223, 225, 228

Offset: 1

Author

Clark Kimberling, Jan 13 2011

Keywords

• nonn

Comments

See A184117 for the definition of lower and upper s(n)-Wythoff sequences.

Crossrefs

Cf. A184413, A184117.

Programs

Mathematica

mex:=First[Complement[Range[1,Max[#1]+1],#1]]&;
s[n_]:=Floor[(n+1)/2];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,20}]
Table[a[n],{n,100}]
Table[b[n],{n,100}]