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 A117943 a(1) = 0, a(2) = 1; a(3n) = a(n); if every third term (a(3), a(6), a(9), ...) is deleted, this gives back the original sequence. 13
 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A self-generating sequence. A super-fractal? Might also be called a lizard sequence (une suite du lézard) because it grows back from its tail. Terms were computed by Gilles Sadowski. First differences of Rauzy's sequence A071996. - Benoit Cloitre, Mar 10 2007 This is the characteristic sequence of A178931. Instead of "a(1)=0, a(2)=1", one could also say "Lexicographically earliest nontrivial sequence such that...". Starting with "a(1)=1, a(2)=2" would yield the m=3 analog of (the m=10 variant) A126616. See A255824-A255829 for the m=4,...,m=9 variants. - M. F. Hasler, Mar 07 2015 REFERENCES J.-P. Delahaye, La suite du lézard et autres inventions, Pour la Science, No. 353, 2007. LINKS Eric Angelini, Decimation-like sequences Eric Angelini, Decimation-like sequences [Cached copy, with permission] FORMULA a(1)=0, a(1)=1; and for n>2, a(n)=a(n/3) if Mod(n,3)=0, a(n)=a(n-floor(n/3)) if Mod(n,3)>0. - John W. Layman, Feb 14 2007 PROG (PARI) a(n)=while(n>5, if(n%3, n-=n\3, n\=3)); n==2 \\ M. F. Hasler, Mar 07 2015 CROSSREFS Cf. A178931, A255824, ..., A255829, A126616. Sequence in context: A109017 A110161 A134667 * A285969 A189664 A260446 Adjacent sequences:  A117940 A117941 A117942 * A117944 A117945 A117946 KEYWORD nonn,easy AUTHOR Eric Angelini, May 03 2006 EXTENSIONS Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Jul 14 2007 Definition simplified by M. F. Hasler, Mar 07 2015 STATUS approved

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Last modified October 19 11:00 EDT 2019. Contains 328216 sequences. (Running on oeis4.)