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 A277160 Lexicographically least sequence of nonnegative integers that avoids 13/8-powers. 2
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS This sequence is 33-regular. More generally, if a/b is a rational number in the interval 3/2 < a/b < 5/3 with gcd(b, 5) = 1 and gcd(a, b) = 1, then the lexicographically least sequence of nonnegative integers that avoids a/b-powers is (5 a - 4 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(33 n + 32) = a(n) + 1. MATHEMATICA (* This gives the first 35937 terms. *) SubstitutionSystem[{n_ :> {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, n + 1}}, {0}, {{3}}] CROSSREFS Cf. A277155 (sequence in the same family). Sequence in context: A297042 A088918 A277157 * A277163 A011726 A297041 Adjacent sequences: A277157 A277158 A277159 * A277161 A277162 A277163 KEYWORD nonn AUTHOR Eric Rowland, Oct 01 2016 STATUS approved

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Last modified June 14 03:16 EDT 2024. Contains 373392 sequences. (Running on oeis4.)