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 A118816 A fractal sequence based upon powers of 3. 0
 1, 0, 1, 1, 1, 0, 2, 2, 1, 3, 3, 1, 4, 4, 1, 5, 5, 0, 6, 6, 2, 7, 7, 2, 8, 8, 1, 9, 9, 3, 10, 10, 3, 11, 11, 1, 12, 12, 4, 13, 13, 4, 14, 14, 1, 15, 15, 5, 16, 16, 5, 17, 17, 0, 18, 18, 6, 19, 19, 6, 20, 20, 2, 21, 21, 7, 22, 22, 7, 23, 23, 2, 24, 24, 8, 25, 25, 8, 26, 26, 1, 27, 27, 9, 28, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS Zeros occur at A008776, or 2*3^(k-1), k > 0. LINKS FORMULA a((3n-2)/3) = A028310(n), a((3n-1)/3) =A001477 & a(3n)=a(n), thus this sequence is a fractal. MATHEMATICA a[1] = 1; a[n_] := Switch[ Mod[n, 3], 0, a[n/3], 1, (n - 1)/3, 2, (n - 2)/3]; Array[a, 90] CROSSREFS Cf. A003602, A101279. Sequence in context: A291123 A292594 A093613 * A283904 A097289 A294207 Adjacent sequences:  A118813 A118814 A118815 * A118817 A118818 A118819 KEYWORD nonn AUTHOR Robert G. Wilson v, May 23 2006 STATUS approved

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Last modified January 20 21:36 EST 2019. Contains 319336 sequences. (Running on oeis4.)