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A189706 Fixed point of the morphism 0->011, 1->001. 6
0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

LINKS

Table of n, a(n) for n=1..122.

FORMULA

a(3k-2)=0, a(3k-1)=1-a(k), a(3k)=1 for k>=1, a(0)=0.

EXAMPLE

0->011->011001001->

MATHEMATICA

t = Nest[Flatten[# /. {0->{0, 1, 1}, 1->{0, 0, 1}}] &, {0}, 5] (*A189706*)

f[n_] := t[[n]]

Flatten[Position[t, 0]] (*A189707*)

Flatten[Position[t, 1]] (*A189708*)

s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;

Table[s[n], {n, 1, 120}] (*A189709*)

CROSSREFS

Cf. A189628, A189706, A189707, A189708.

Sequence in context: A261185 A254114 A189476 * A188321 A257628 A269927

Adjacent sequences:  A189703 A189704 A189705 * A189707 A189708 A189709

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 25 2011

STATUS

approved

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Last modified December 7 11:42 EST 2016. Contains 278874 sequences.