A184414 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..100.

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}]