

A277160


Lexicographically least sequence of nonnegative integers that avoids 13/8powers.


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
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OFFSET

0


COMMENTS

This sequence is 33regular.
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/bpowers 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



