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A277142
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Lexicographically least sequence of nonnegative integers that avoids 4/3-powers.
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2
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0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2
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OFFSET
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0,8
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COMMENTS
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This sequence is 56-regular.
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LINKS
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FORMULA
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a(56 n + 73) = 1 if a(n) = 0.
a(56 n + 73) = a(n) + 2 if a(n) != 0.
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MATHEMATICA
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(* This gives the first 4162 terms. *)
With[{u = {1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0}, v = {zero, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2}}, Replace[SubstitutionSystem[{zero -> Join[v, Append[u, 1]], 0 -> Append[u, 1], n_Integer :> Append[u, n + 2]}, {zero}, {{2}}], zero -> 0, {1}]]
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CROSSREFS
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Cf. A277141 (the lexicographically least sequence that avoids a/b-powers for all a/b >= 4/3).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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