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A277731 Fixed point of the morphism 0 -> 01, 1 -> 012, 2 -> 0; starting with a(1) = 0. 4
0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

After k = 0,1,2,3,... applications of the morphism we have 0, 01, 01012, 01012010120, ... which have lengths 1, 2, 5, 11, 24, 53, 117, ..., satisfying b(n) = 2*b(n-1) + b(n-3) (cf. A052980).

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..20000

MAPLE

with(ListTools);

T:=proc(S) Flatten(subs( {0=[0, 1], 1=[0, 1, 2], 2=[0]}, S)); end;

S:=[0];

for n from 1 to 10 do S:=T(S); od:

S;

CROSSREFS

Cf. A052980, A277732, A277733, A277734.

Sequence in context: A091830 A029427 A132343 * A287002 A119346 A014586

Adjacent sequences:  A277728 A277729 A277730 * A277732 A277733 A277734

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 07 2016

STATUS

approved

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Last modified October 20 05:42 EDT 2017. Contains 293601 sequences.