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A107641
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Order of appearance of threes in the tribonacci ( Rauzy type) substitution: triangular.
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0
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1, 3, 2, 1, 4, 3, 5, 2, 5, 6, 1, 4, 6, 3, 5, 8, 9, 2, 5, 6, 9, 1, 4, 6, 9, 3, 5, 8, 9, 12, 2, 5, 6, 9, 11, 1, 4, 6, 9, 12, 14, 3, 5, 8, 9, 12, 14, 2, 5, 6, 9, 11, 14, 1, 4, 6, 9, 12, 14, 17, 3, 5, 8, 9, 12, 14, 17, 2, 5, 6, 9, 11, 14, 17, 19, 1, 4, 6, 9, 12, 14, 17, 18
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OFFSET
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0,2
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LINKS
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FORMULA
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1->{2}, 2->{3}, 3->{1, 2, 3}
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MATHEMATICA
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s[1] = {2}; s[2] = {3};; s[3] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] a = Table[Flatten[Table[If[(Length[p[i]]) >= j && (p[i][[j]] == 3), j, {}], {j, 1, i}]], {i, 1, 20}] MatrixForm[a] b = Flatten[a]
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CROSSREFS
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KEYWORD
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nonn,uned
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AUTHOR
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STATUS
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approved
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