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 A118605 a(0)=0, a(1)=1; and for n>1: if n in binary representation is contained in the concatenation of all preceding terms then a(n)=1 else a(n)=0. 5
 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS MATHEMATICA nxt[{n_, t_, a_}]:=Module[{k=If[SequenceCount[t, IntegerDigits[ n+1, 2]]> 0, 1, 0]}, {n+1, Join[t, {k}], k}]; Join[{0}, NestList[nxt, {1, {0, 1}, 1}, 110][[All, 3]]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, May 02 2019 *) CROSSREFS Cf. A007088. Sequence in context: A129184 A129185 A283683 * A175253 A163584 A286655 Adjacent sequences:  A118602 A118603 A118604 * A118606 A118607 A118608 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, May 08 2006 STATUS approved

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Last modified June 23 17:11 EDT 2021. Contains 345402 sequences. (Running on oeis4.)