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A287356 Start with 0 and repeatedly substitute 0->11, 1->12, 2->0. 4
1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This is the fixed point of the morphism 0->11, 1->12, 2->0 starting with 0. Let u be the sequence of positions of 0, and likewise, v for 1 and w for 2. Let U, V, W be the limits of u(n)/n, v(n)/n, w(n)/n, respectively. Then 1/U + 1/V + 1/W = 1, where
U = 5.5707505637226408833903376944272134...,
V = 1.9375648970813894129869852971548390...,
W = 3.2853752818613204416951688472136067....
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 2}, 2 -> 0}] &, {0}, 11] (* A287356 *)
Flatten[Position[s, 0]] (* A287357 *)
Flatten[Position[s, 1]] (* A287358 *)
Flatten[Position[s, 2]] (* A287359 *)
CROSSREFS
Sequence in context: A358006 A025889 A126306 * A029402 A330443 A268479
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 24 2017
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)