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13, 37, 57, 81, 94, 118, 138, 162, 186, 206, 230, 243, 267, 287, 311, 331, 355, 368, 392, 412, 436, 460, 480, 504, 517, 541, 561, 585, 598, 622, 642, 666, 690, 710, 734, 747, 771, 791, 815, 835, 859, 872, 896, 916, 940, 964, 984, 1008, 1021, 1045, 1065, 1089
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OFFSET
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1,1
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COMMENTS
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This sequence gives the positions of the word bab in the tribonacci word t = abacabaa..., fixed point of the morphism a->ab, b->ac, c->a. This follows from the fact that the positional sequences of baa, bab and bac give a splitting of the positional sequence of the word ba, and the three sets BA(N), BB(N) and BC(N), give a splitting of the set B(N), where A := A003144, B := A003145, C := A003146. Here N denotes the set of positive integers. - Michel Dekking, Apr 09 2019
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LINKS
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Elena Barcucci, Luc Belanger and Srecko Brlek, On tribonacci sequences, Fib. Q., 42 (2004), 314-320. Compare page 318.
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FORMULA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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