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A184415 Lower s(n)-Wythoff sequence, where s(n)=floor[(n+2)/3].  Complement of A184416. 4
1, 3, 5, 7, 8, 11, 12, 14, 16, 18, 20, 21, 23, 26, 27, 29, 30, 33, 34, 37, 38, 40, 42, 43, 46, 47, 49, 52, 53, 54, 57, 59, 60, 61, 65, 66, 67, 69, 72, 74, 75, 76, 79, 81, 83, 84, 86, 87, 91, 92, 93, 95, 97, 99, 101, 104, 105, 106, 107, 111, 112, 114, 116, 118, 119, 121, 122, 125, 128, 129, 130, 132, 134, 136, 138, 139, 142, 144, 146, 147, 149, 150, 152, 155, 157, 158, 160, 162, 164, 166, 167, 169, 171, 172, 175, 177, 179, 181, 182, 184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

s=(1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,...)=A002264.

a=(1,3,5,7,8,11,12,14,16,18,20,...)=A184415.

b=(2,4,6,9,10,13,15,17,19,22,24,...)=A184416.

Briefly: s=a+b, where a=mex="least missing".

MATHEMATICA

mex:=First[Complement[Range[1, Max[#1]+1], #1]]&;

s[n_]:=Floor[(n+2)/3]; 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}]

CROSSREFS

Cf. A184117, A184416.

Sequence in context: A190719 A187224 A106252 * A050111 A090542 A260518

Adjacent sequences:  A184412 A184413 A184414 * A184416 A184417 A184418

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 13 2011

STATUS

approved

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Last modified September 18 13:49 EDT 2020. Contains 337169 sequences. (Running on oeis4.)