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 A277143 Lexicographically least sequence of nonnegative integers that avoids 5/3-powers. 4
 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,35 COMMENTS This sequence is 7-regular. More generally, if a/b is a rational number in the interval 5/3 <= a/b < 2 with gcd(b, 2) = 1 and gcd(a, b) = 1, then the lexicographically least sequence of nonnegative integers that avoids a/b-powers is (2 a - b)-regular. LINKS Eric Rowland, Table of n, a(n) for n = 0..20000 Lara Pudwell and Eric Rowland, Avoiding fractional powers over the natural numbers, arXiv:1510.02807 [math.CO] (2015). FORMULA a(7 n + 6) = a(n) + 1. MATHEMATICA (* This gives the first 2401 terms. *) SubstitutionSystem[{n_ :> {0, 0, 0, 0, 1, 0, n + 1}}, {0}, {{4}}] CROSSREFS Cf. A277149, A277156, A277157 (sequences in the same family). Sequence in context: A035187 A291147 A278929 * A239434 A033770 A216283 Adjacent sequences:  A277140 A277141 A277142 * A277144 A277145 A277146 KEYWORD nonn AUTHOR Eric Rowland, Oct 01 2016 STATUS approved

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Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)