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 A189668 Fixed point of the morphism 0->010, 1->100. 8
 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 LINKS FORMULA a(3k-2)=a(k), a(3k-1)=1-a(k), a(3k)=0 for k>=1, a(0)=0. a(n) = 2n - 1 - A285347(n). EXAMPLE 0->010->010100010-> MATHEMATICA t = Nest[Flatten[# /. {0->{0, 1, 0}, 1->{1, 0, 0}}] &, {0}, 5] (*A189668*) f[n_] := t[[n]] Flatten[Position[t, 0]] (*A189669*) Flatten[Position[t, 1]] (*A189670*) s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0; Table[s[n], {n, 1, 120}] (*A189671*) CROSSREFS Cf. A189628, A189669, A189670, A189671. Sequence in context: A172486 A288223 A288512 * A286907 A284851 A285966 Adjacent sequences:  A189665 A189666 A189667 * A189669 A189670 A189671 KEYWORD nonn AUTHOR Clark Kimberling, Apr 25 2011 STATUS approved

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