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A277142 Lexicographically least sequence of nonnegative integers that avoids 4/3-powers. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

This sequence is 56-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(56 n + 73) = 1 if a(n) = 0.

a(56 n + 73) = a(n) + 2 if a(n) != 0.

MATHEMATICA

(* 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}]]

CROSSREFS

Cf. A277141 (the lexicographically least sequence that avoids a/b-powers for all a/b >= 4/3).

Sequence in context: A320313 A319227 A219490 * A240592 A001877 A112712

Adjacent sequences:  A277139 A277140 A277141 * A277143 A277144 A277145

KEYWORD

nonn

AUTHOR

Eric Rowland, Oct 01 2016

STATUS

approved

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)