login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)