A184425 Lower s-Wythoff sequence, where s=A000217 (triangular numbers). Complement of A184426.

1, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120

Offset: 1

Author

Clark Kimberling, Jan 14 2011

Keywords

• nonn

Comments

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

Crossrefs

Cf. A184117, A184426.

Programs

Mathematica

mex:=First[Complement[Range[1,Max[#1]+1],#1]]&;
s[n_]:=n (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,40}]
Table[a[n],{n,120}]
Table[b[n],{n,100}]