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A184421 Lower s-Wythoff sequence, where s=upper Wythoff sequence. Complement of A184422. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

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

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}]

CROSSREFS

Cf. A184117, A184422.

Sequence in context: A317551 A004773 A104401 * A329978 A329839 A039070

Adjacent sequences:  A184418 A184419 A184420 * A184422 A184423 A184424

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 13 2011

STATUS

approved

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Last modified July 27 14:47 EDT 2021. Contains 346307 sequences. (Running on oeis4.)