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 A254990 4-bonacci word. Fixed point of morphism 0->01, 1->02, 2->03, 3->0. 6
 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Special case of k-bonacci word for k = 4 (see crossrefs). The lengths of iterations S(i) are Tetranacci numbers (A000078). Set S(0) = 0; S(1) = 0,1; S(2) = 0,1,0,2; S(3) = 0,1,0,2,0,1,0,3; for n >= 4: S(n) = S(n-1) S(n-2) S(n-3) S(n-4). The sequence is the limit S(infinity). LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 Elena Barcucci, Luc Belanger and Srecko Brlek, On tribonacci sequences, Fib. Q., 42 (2004), 314-320. See Section 4. F. Michel Dekking, Morphisms, Symbolic Sequences, and Their Standard Forms, Journal of Integer Sequences, Vol. 19 (2016), Article 16.1.1. O. Turek, Abelian Complexity Function of the Tribonacci Word, J. Int. Seq. 18 (2015) # 15.3.4 EXAMPLE The iterates are: 0 01 0102 01020103 010201030102010 01020103010201001020103010201 01020103010201001020103010201010201030102010010201030102 ... MATHEMATICA Nest[Flatten[#/.{0->{0, 1}, 1->{0, 2}, 2->{0, 3}, 3->0}]&, 0, 7] (* Harvey P. Dale, Mar 26 2015 *) CROSSREFS Cf. A000078 (lengths of iterations). Cf. A003849 (k=2, Fibonacci word), A080843 (k=3, Tribonacci word). Cf. A316837, A316838, A316839, A316840. Sequence in context: A162590 A276424 A191258 * A191255 A007814 A265330 Adjacent sequences:  A254987 A254988 A254989 * A254991 A254992 A254993 KEYWORD nonn,easy AUTHOR Ondrej Turek, Feb 11 2015 STATUS approved

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Last modified August 4 06:58 EDT 2020. Contains 336201 sequences. (Running on oeis4.)